C. Kenig

发表

Convergence Rates in L2 for Elliptic Homogenization Problems

F. Lin, C. Kenig, Zhongwei Shen, 2011, 1103.0023.

Examples of singular parabolic measures and singular transition probability densities

C. Kenig, E. Fabes, 1981 .

Well-posedness of the initial value problem for the Korteweg-de Vries equation

Luis Vega, Gustavo Ponce, Carlos E. Kenig, 1991 .

Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle

C. Kenig, G. Ponce, L. Vega, 1993 .

Determining a Magnetic Schrödinger Operator from Partial Cauchy Data

C. Kenig, G. Uhlmann, D. D. S. Ferreira, 2006, math/0601466.

Limiting Carleman weights and anisotropic inverse problems

C. Kenig, M. Salo, G. Uhlmann, 2008, 0803.3508.

Non-Uniform Dependence for the Periodic CH Equation

C. Kenig, G. Misiołek, A. Alexandrou Himonas, 2010 .

The local regularity of solutions of degenerate elliptic equations

Carlos E. Kenig, C. Kenig, E. Fabes, 1982 .

Global existence and uniqueness of Schrödinger maps in dimensions d... 4

Carlos E. Kenig, Alexandru D. Ionescu, C. Kenig, 2007 .

Global Schrödinger maps

C. Kenig, A. Ionescu, D. Tataru, 2008 .

The Calderón problem with partial data

G. Uhlmann, C. Kenig, G. Uhlmann, 2004 .

New Prize " Ems Monograph Award " by the Ems Publishing House European Mathematical Society Editor-in-chief Copy Editor

J. Nesetril, J. Buescu, M. Röckner, 2013 .

On localization in the continuous Anderson-Bernoulli model in higher dimension

J. Bourgain, C. Kenig, 2005 .

The Neumann problem on Lipschitz domains

David Jerison, Carlos E. Kenig, C. Kenig, 1981 .

Harmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems

Carlos E. Kenig, C. Kenig, 1994 .

The Cauchy problem for the quasilinear Schrodinger equatio

C. Kenig, 2013, 1309.3291.

Well-posedness and local smoothing of solutions of Schrodinger equations

C. Kenig, A. Ionescu, 2005 .

The Cauchy problem for quasi-linear Schrödinger equations

Luis Vega, Gustavo Ponce, Carlos E. Kenig, 2004 .

Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations

Luis Vega, Gustavo Ponce, Carlos E. Kenig, 1998 .

On the generalized Benjamin-Ono equation

Luis Vega, Gustavo Ponce, Carlos E. Kenig, 1994 .

Small solutions to nonlinear Schrödinger equations

Luis Vega, Gustavo Ponce, Carlos E. Kenig, 1993 .

Determining an Unbounded Potential from Cauchy Data in Admissible Geometries

C. Kenig, M. Salo, David Dos Santos Ferreira, 2011, 1104.0232.

Profiles for bounded solutions of dispersive equations, with applications to energy-critical wave and Schr\"odinger equations

F. Merle, C. Kenig, Thomas Duyckaerts, 2013, 1311.0665.

Nondispersive radial solutions to energy supercritical non-linear wave equations, with applications

F. Merle, C. Kenig, Carlos E. Frank Merle, 2008, 0810.4834.

The Focusing Energy-Critical Wave Equation

C. Kenig, 2017 .

Concentration-compactness and universal profiles for the non-radial energy critical wave equation

F. Merle, C. Kenig, Thomas Duyckaerts, 2015, 1510.01750.

Quantitative uniqueness estimates for second order elliptic equations with unbounded drift

C. Kenig, Jenn-Nan Wang, 2014, 1407.1536.

ELLIPTIC BOUNDARY VALUE PROBLEMS ON LIPSCHITZ DOMAINS

Carlos E. Kenig, C. Kenig, 1987 .

Classification of radial solutions of the focusing, energy-critical wave equation

F. Merle, C. Kenig, Thomas Duyckaerts, 2012, 1204.0031.

Solutions of the focusing nonradial critical wave equation with the compactness property

F. Merle, C. Kenig, Thomas Duyckaerts, 2014, 1402.0365.

Kato's Square Roots of Accretive Operators and Cauchy Kernels on Lipschitz Curves are the Same

Y. Meyer, C. Kenig, 1985 .

The weak behavior of spherical means

C. Kenig, P. A. Tomas, 1980 .

On conjectures of Riviére and Strichartz

C. Kenig, P. A. Tomas, 1979 .

Potential theory of non-divergence form elliptic equations

C. Kenig, 1993 .

Uniqueness properties of solutions to the Benjamin-Ono equation and related models

C. Kenig, G. Ponce, L. Vega, 2019, Journal of Functional Analysis.

Local well-posedness for dispersion-generalized Benjamin-Ono equations

C. Kenig, J. Colliander, G. Staffilani, 2002, math/0210332.

An alternative approach to regularity for the Navier–Stokes equations in critical spaces

Carlos E. Kenig, Gabriel S. Koch, C. Kenig, 2009, 0908.3349.

A note on the almost everywhere behavior of solutions to the Schrödinger equation

C. Kenig, B. Dahlberg, 1982 .

Uncertainty principle of Morgan type and Schrödinger evolutions

Luis Vega, Gustavo Ponce, Carlos E. Kenig, 2009, J. Lond. Math. Soc..

The sharp Hardy uncertainty principle for Schrödinger evolutions

C. Kenig, G. Ponce, L. Vega, 2009, 0906.0884.

The Focusing Energy-Critical Nonlinear Wave Equation With Random Initial Data

C. Kenig, Dana Mendelson, 2019, International Mathematics Research Notices.

Local estimates and global continuities in Lebesgue spaces for bilinear operators

E. Stein, C. Kenig, 2009 .

THE KATO SQUARE ROOT PROBLEM ON AN ARBITRARY DOMAIN OF R d

R. Coifman, P. Tchamitchian, A., 2020 .

On the unique continuation of solutions to non-local non-linear dispersive equations

C. Kenig, G. Ponce, D. Pilod, 2020, Communications in Partial Differential Equations.

Restriction theorems, Carleman estimates, uniform Sobolev inequalities and unique continuation

C. Kenig, 1989 .

Global wellposedness of the modified Benjamin-Ono equation with initial data in H1/2

C. Kenig, H. Takaoka, 2005, math/0509573.

The Inhomogeneous Dirichlet Problem in Lipschitz Domains

Carlos E. Kenig, C. Kenig, D. Jerison, 1995 .

On solutions for the Kadomtsev-Petviashvili I equation

C. Kenig, J. Colliander, G. Staffilani, 2001, math/0112025.

THE GENERALIZED KORTEWEG–DE VRIES EQUATION ON THE HALF LINE

C. Kenig, J. Colliander, 2001, math/0111294.

Richard L. Wheeden— In Memoriam 1940–2020 Sagun Chanillo, Bruno Franchi, Carlos E. Kenig, and Eric T. Sawyer

C. Kenig, B. Franchi, S. Chanillo, 2021 .

Weak continuity of dynamical systems for the KdV and mKdV equations

C. Kenig, S. Cui, 2009, Differential and Integral Equations.

Global well-posedness of the Benjamin–Ono equation in low-regularity spaces

C. Kenig, A. Ionescu, 2005, math/0508632.

Global well-posedness for semi-linear wave equations

C. Kenig, G. Ponce, L. Vega, 2000 .

Wave maps into the sphere

C. Kenig, 2022, Revista de la Unión Matemática Argentina.

A P ] 8 M ay 2 00 6 LOW-REGULARITY SCHRÖDINGER MAPS

C. Kenig, A. Ionescu, 2021 .

The method of energy channels for nonlinear wave equations

C. Kenig, 2019 .

Universality of blow up profile for small blow up solutions to the energy critical wave map equation

F. Merle, C. Kenig, Thomas Duyckaerts, 2016, 1612.04927.

Characterization of large energy solutions of the equivariant wave map problem: I

C. Kenig, R. Cote, W. Schlag, 2012, 1209.3684.

Global Schr\"{o}dinger maps

C. Kenig, A. Ionescu, D. Tataru, 2008, 0807.0265.

Low-regularity Schrödinger maps, II: global well-posedness in dimensions d ≥ 3

C. Kenig, A. Ionescu, 2007 .

Global existence and uniqueness of Schr\"{o}dinger maps in dimensions $d\geq 4$

C. Kenig, A. Ionescu, I. Bejenaru, 2006, math/0607579.

Low-regularity Schrödinger maps

C. Kenig, A. Ionescu, 2006, Differential and Integral Equations.

Maximal operators defined by Fourier multipliers

C. Kenig, P. A. Tomas, 1980 .

Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrödinger equation in the radial case

F. Merle, C. Kenig, 2006, math/0610266.

Free boundary regularity for harmonic measures and Poisson kernels

C. Kenig, T. Toro, 1999, math/9909197.

Uniform Lipschitz Estimates in Bumpy Half-Spaces

C. Kenig, Christophe Prange, 2014, Archive for Rational Mechanics and Analysis.

Profiles for the Radial Focusing 4d Energy-Critical Wave Equation

C. Kenig, R. Cote, W. Schlag, 2017, Communications in Mathematical Physics.

Profiles for the Radial Focusing 4d Energy-Critical Wave Equation

C. Kenig, R. Cote, W. Schlag, 2014, 1402.2307.

Profiles of bounded radial solutions of the focusing, energy-critical wave equation

F. Merle, C. Kenig, Thomas Duyckaerts, 2012, Geometric and Functional Analysis.

On the work of Jean Bourgain in nonlinear dispersive equations

C. Kenig, 2020, Bulletin of the American Mathematical Society.

Soliton resolution along a sequence of times for the focusing energy critical wave equation

F. Merle, C. Kenig, Thomas Duyckaerts, 2017, Geometric and Functional Analysis.

Soliton resolution along a sequence of times for the focusing energy critical wave equation

F. Merle, C. Kenig, Thomas Duyckaerts, 2016, 1601.01871.

Convergence Rates in L2 for Elliptic Homogenization Problems

F. Lin, C. Kenig, Zhongwei Shen, 2011, Archive for Rational Mechanics and Analysis.

The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients

C. Kenig, J. Pipher, S. Mayboroda, 2014, Mathematische Annalen.

Errata to “Multilinear estimates and fractional integration”

E. Stein, C. Kenig, 1999 .

Determining a Magnetic Schrödinger Operator from Partial Cauchy Data

C. Kenig, G. Uhlmann, D. D. S. Ferreira, 2006, math/0601466.

Local well-posedness and blow up in the energy space for a class of L2 critical dispersion generalized Benjamin-Ono equations

C. Kenig, Y. Martel, L. Robbiano, 2010, 1006.0122.

Harmonic measure on locally flat domains

C. Kenig, 1997, math/0304334.

Selected Papers of Alberto P. Calderon with Commentary

P. Malliavin, C. Kenig, A. Bellow, 2008 .

Stable soliton resolution for exterior wave maps in all equivariance classes

C. Kenig, W. Schlag, A. Lawrie, 2014, 1409.3644.

Construction of 2-Peakon Solutions and Ill-Posedness for the Novikov Equation

A. Alexandrou Himonas, Curtis Holliman, Carlos E. Kenig, 2017, SIAM J. Math. Anal..

Some new monotonicity theorems with applications to free boundary problems

David Jerison, Carlos E. Kenig, Luis A. Caffarelli, 2002 .

Layer potential methods for elliptic homogenization problems

C. Kenig, Zhongwei Shen, 2009, 0910.4169.

Boundary value problems for the systems of elastostatics in Lipschitz domains

Carlos E. Kenig, C. Kenig, G. Verchota, 1988 .

The Dirichlet problem for the Stokes system on Lipschitz domains

Carlos E. Kenig, C. Kenig, E. Fabes, 1988 .

The Oblique Derivative Problem on Lipschitz Domains with L p Data

C. Kenig, J. Pipher, 1988 .

Characterization of large energy solutions of the equivariant wave map problem: II

C. Kenig, R. Cote, W. Schlag, 2015 .

Channels of energy for the linear radial wave equation

C. Kenig, W. Schlag, A. Lawrie, 2014, 1409.3643.

Solutions of the focusing nonradial critical wave equation with the compactness property

F. Merle, C. Kenig, Thomas Duyckaerts, 2014, 1402.0365.

Relaxation of Wave Maps Exterior to a Ball to Harmonic Maps for All Data

C. Kenig, W. Schlag, A. Lawrie, 2013, 1301.0817.

Universality of the blow-up profile for small type II blow-up solutions of energy-critical wave equation: the non-radial case

F. Merle, C. Kenig, Thomas Duyckaerts, 2010, 1003.0625.

Universality of blow-up profile for small radial type II blow-up solutions of energy-critical wave equation

F. Merle, C. Kenig, Thomas Duyckaerts, 2009, 0910.2594.

Asymptotic stability of solitons for the Benjamin-Ono equation

Y. Martel, C. Kenig, Y. Martel, 2008, 0803.3683.

Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation

F. Merle, C. Kenig, 2006, math/0610801.

Soliton resolution for the radial critical wave equation in all odd space dimensions

F. Merle, C. Kenig, Thomas Duyckaerts, 2019, Acta Mathematica.

The general quasilinear ultrahyperbolic Schrödinger equation

C. Kenig, G. Ponce, L. Vega, 2005, math/0503206.

Global Schrödinger maps in dimensions $d≥ 2$: Small data in the critical Sobolev spaces

Carlos E. Kenig, Daniel Tataru, Alexandru D. Ionescu, 2011 .

Scattering for focusing supercritical wave equations in odd dimensions

C. Kenig, Guher Camliyurt, 2022, 2201.04710.

Exterior Energy Bounds for the Critical Wave Equation Close to the Ground State

F. Merle, C. Kenig, Thomas Duyckaerts, 2019, Communications in Mathematical Physics.

Lectures on the Energy Critical Nonlinear Wave Equation

C. Kenig, 2015 .

Asymptotic decomposition for semilinear Wave and equivariant wave map equations

C. Kenig, H. Jia, 2015, 1503.06715.

Scattering for radial, bounded solutions of focusing supercritical wave equations

F. Merle, C. Kenig, Thomas Duyckaerts, 2012, 1208.2158.

Profiles of bounded radial solutions of the focusing, energy-critical wave equation

F. Merle, C. Kenig, Thomas Duyckaerts, 2012, 1201.4986.

Radial solutions to energy supercritical wave equations in odd dimensions

F. Merle, C. Kenig, 2011 .

Scattering profile for global solutions of the energy-critical wave equation

F. Merle, C. Kenig, Thomas Duyckaerts, 2016, Journal of the European Mathematical Society.

Energy partition for the linear radial wave equation

C. Kenig, R. Cote, W. Schlag, 2012, 1209.3678.

Scattering Below Critical Energy for the Radial 4D Yang-Mills Equation and for the 2D Corotational Wave Map System

F. Merle, C. Kenig, R. Cote, 2007, 0709.3222.

Mathematisches Forschungsinstitut Oberwolfach Report No . 44 / 2007 Nonlinear Waves and Dispersive Equations

C. Kenig, D. Tataru, H. K. Bonn, 2008 .

Soliton Resolution for the Radial Quadratic Wave Equation in Space Dimension 6

F. Merle, C. Kenig, Thomas Duyckaerts, 2022, Vietnam Journal of Mathematics.

Global existence for solutions of the focusing wave equation with the compactness property

F. Merle, C. Kenig, Thomas Duyckaerts, 2015, 1504.04692.

A P ] 6 J an 2 01 1 UNIVERSALITY OF THE BLOW-UP PROFILE FOR SMALL TYPE II BLOW-UP SOLUTIONS OF THE ENERGY-CRITICAL WAVE EQUATION : THE NON-RADIAL CASE

F. Merle, C. Kenig, Thomas Duyckaerts, 2011 .

Well-posedness for the fifth-order KdV equation in the energy space

C. Kenig, D. Pilod, 2012, 1205.0169.

Weak Continuity of the Flow Map for the Benjamin-Ono Equation on the Line

C. Kenig, S. Cui, 2009, 0909.0793.

On the ill-posedness of some canonical dispersive equations

Luis Vega, Gustavo Ponce, Carlos E. Kenig, 2001 .

A bilinear estimate with applications to the KdV equation

Luis Vega, Gustavo Ponce, Carlos E. Kenig, 1996 .

The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices

Luis Vega, Gustavo Ponce, Carlos E. Kenig, 1993 .

The Cauchy problem for Schr\"{o}dinger flows into K\"{a}hler manifolds

C. Kenig, D. Pollack, G. Staffilani, 2009, 0911.3141.

The Cauchy problem for Schrodinger flows into Kahler manifolds

Gigliola Staffilani, Carlos Kenig, Tatiana Toro, 2005, math/0511701.

Variable coefficient Schrödinger flows for ultrahyperbolic operators

C. Kenig, G. Ponce, L. Vega, 2005, math/0503205.

Oscillatory integrals and regularity of dispersive equations

Luis Vega, Gustavo Ponce, Carlos E. Kenig, 1991 .

On the Zakharov and Zakharov-Schulman Systems

Luis Vega, Gustavo Ponce, Carlos E. Kenig, 1995 .

Soliton Resolution for Critical Co-rotational Wave Maps and Radial Cubic Wave Equation

F. Merle, C. Kenig, Y. Martel, 2021, Communications in Mathematical Physics.

Asymptotic simplification for solutions of the energy critical nonlinear wave equation

C. Kenig, 2021 .

Decay Estimates for Nonradiative Solutions of the Energy-Critical Focusing Wave Equation

F. Merle, C. Kenig, Thomas Duyckaerts, 2019, The Journal of Geometric Analysis.

Relaxation of Wave Maps Exterior to a Ball to Harmonic Maps for All Data

C. Kenig, W. Schlag, A. Lawrie, 2014, Geometric and Functional Analysis.

On channels of energy for the radial linearised energy critical wave equation in the degenerate case

F. Merle, C. Kenig, Thomas Duyckaerts, 2022, 2211.16075.

The Concentration-Compactness Rigidity Method for Critical Dispersive and Wave Equations

C. Kenig, 2012 .

Quadratic forms for the 1-D semilinear Schrödinger equation

Luis Vega, Gustavo Ponce, Carlos E. Kenig, 1996 .

On classification of non-radiative solutions for various energy-critical wave equations

F. Merle, C. Kenig, Thomas Duyckaerts, 2022, 2211.16085.

Local well-posedness for the KdV hierarchy at high regularity

C. Kenig, D. Pilod, Didier Pilod, 2015, Advances in Differential Equations.

Local well-posedness for higher order nonlinear dispersive systems

C. Kenig, G. Staffilani, 1997 .

Higher-order nonlinear dispersive equations

C. Kenig, G. Ponce, L. Vega, 1994 .

Global well-posedness of the KP-I initial-value problem in the energy space

C. Kenig, A. Ionescu, D. Tataru, 2007, 0705.4239.

On the Interaction of Nearly Parallel Vortex Filaments

C. Kenig, G. Ponce, L. Vega, 2003 .

Square Functions and the A∞ Property of Elliptic Measures

C. Kenig, J. Pipher, B. Kirchheim, 2016 .

Square Functions and the $$A_\infty $$A∞ Property of Elliptic Measures

C. Kenig, J. Pipher, B. Kirchheim, 2014, 1409.7131.

RESTRICTION FOR HOMOGENEOUS POLYNOMIAL SURFACES IN R

C. Kenig, 2013 .

A P ] 1 J un 2 01 0 Local well-posedness and blow up in the energy space for a class of L 2 critical dispersion generalized

Luc Robbiano, Carlos E. Kenig, Yvan Martel, 2010 .

A P ] 2 4 A ug 2 00 9 An alternative approach to regularity for the Navier-Stokes equations in a critical space

C. Kenig, G. Koch, 2009 .

On the local well-posedness of the Benjamin-Ono and modified Benjamin-Ono equations

Carlos E. Kenig, C. Kenig, Kenneth D. Koenig, 2003 .

A New Approach to Absolute Continuity of Elliptic Measure, with Applications to Non-symmetric Equations☆

C. Kenig, J. Pipher, H. Koch, 2000 .

Multilinear estimates and fractional integration

Elias M. Stein, Carlos E. Kenig, E. Stein, 1999 .

Area integral estimates for solutions and normalized adjoint solutions to nondivergence form elliptic equations

C. Kenig, L. Escauriaza, 1993 .

Weak solutions of the porous medium equation in a cylinder

C. Kenig, B. Dahlberg, 1993 .

A Fatou theorem for solutions of the porous medium equation

C. Kenig, E. Fabes, B. Dahlberg, 1984 .

A strong type (2,2) estimate for a maximal operator associated to the Schrödinger equation

C. Kenig, A. Ruiz, 1983 .

MULTILINEAR SQUARE FUNCTIONS AND PARTIAL DIFFERENTIAL EQUATIONS

C. Kenig, D. Jerison, E. Fabes, 1985 .

Multilinear Littlewood-Paley estimates with applications to partial differential equations.

C. Kenig, D. Jerison, E. Fabes, 1982, Proceedings of the National Academy of Sciences of the United States of America.

Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators

Christopher D. Sogge, C. Kenig, C. E. Kenig, 1987 .

Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators

C. Kenig, J. Pipher, S. Mayboroda, 2012, 1202.2405.

On the elliptic equation $Lu - k + K \exp [2u] = 0$

C. Kenig, W. Ni, 1985 .

Area integral estimates for elliptic differential operators with non-smooth coefficients

C. Kenig, D. Jerison, B. Dahlberg, 1984 .

Hardy spaces and the Neumann problem in L^p for laplace's equation in Lipschitz domains

C. Kenig, B. Dahlberg, 1987 .

Boundary behavior of harmonic functions in non-tangentially accessible domains

Carlos E. Kenig, C. Kenig, D. Jerison, 1982 .

The theory of weights and the Dirichlet problem for elliptic equations

R. Fefferman, C. Kenig, J. Pipher, 1991 .

Weighted H p Spaces on Lipschitz Domains

C. Kenig, 1980 .

Lower bounds for non-trivial travelling wave solutions of equations of KdV type

C. Kenig, G. Ponce, L. Vega, 2011, 1112.3505.

Chapter 9. Local and Global Wellposedness of Periodic KP-I Equations

C. Kenig, A. Ionescu, Carlos E. Kenig, 2009 .

Weighted Low-Regularity Solutions of the KP-I Initial Value Problem

C. Kenig, A. Ionescu, J. Colliander, 2007 .

On uniqueness properties of solutions of the k-generalized KdV equations

C. Kenig, G. Ponce, L. Vega, 2006, math/0601621.

Global well-posedness in the energy space for a modified KP II equation via the Miura transform

Carlos E. Kenig, Yvan Martel, C. Kenig, 2006 .

On the local and global well-posedness theory for the KP-I equation

Carlos E. Kenig, C. Kenig, 2004 .

BMO solvability and the $A_\infty$ condition for elliptic operators

C. Kenig, J. Pipher, M. Dindoš, 2010 .

BMO Solvability and the A∞ Condition for Elliptic Operators

C. Kenig, J. Pipher, M. Dindoš, 2010, 1007.5496.

The Dirichlet problem for elliptic equations with drift terms

C. Kenig, J. Pipher, 2001 .

Review of: Harmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems, Carlos E. Kenig

C. Kenig, J. Pipher, 1999 .

The absolute continuity of elliptic measure revisited

C. Kenig, J. Pipher, 1998 .

∂x2 be the Laplacian in R

C. Kenig, 1996 .

Dedicated to the memory of Nestor M. Riviere

C. Kenig, 2016 .

On Optimal Estimates for Some Oblique Derivative Problems

C. Kenig, N. Nadirashvili, 2001 .

The neumann problem for elliptic equations with non-smooth coefficients

C. Kenig, J. Pipher, 1993 .

Boundary value problems for elliptic equations

Carlos E. Kenig, C. Kenig, 1991 .

The Landis Conjecture for variable coefficient second-order elliptic PDES

C. Kenig, Jenn-Nan Wang, Blair Davey, 2015, 1510.04762.

THE LANDIS CONJECTURE FOR VARIABLE COEFFICIENT SECOND-ORDER ELLIPTIC PDE S BLAIR DAVEY

C. Kenig, Jenn-Nan Wang, 2015 .

An exterior Dirichlet problem with applications to some nonlinear equations arising in geometry

C. Kenig, W. Ni, 1984 .

Bilinear estimates and applications to 2d NLS

C. Kenig, Jean-Marc Delort, J. Colliander, 2001 .

Unique continuation and absence of positive eigenvalues for Schrodinger operators

Elias M. Stein, David Jerison, Carlos E. Kenig, 1985 .

Weighted Sobolev inequalities and unique continuation for the Laplacian plus lower order terms

C. Kenig, B. Barceló, C. Sogge, 1988 .

Continuation Theorems for Schrodinger Operators

C. Kenig, 1987 .

Critical non-linear dispersive equations: global existence, scattering, blow-up and universal profiles

C. Kenig, 2011 .

Recent Developments on the Global Behavior to Critical Nonlinear Dispersive Equations

C. Kenig, 2011 .

Recent Progress on the Global Well-Posedness of the KPI Equation

C. Kenig, 2010 .

Low regularity solutions for the Kadomtsev-Petviashvili I equation

C. Kenig, J. Colliander, G. Staffilani, 2002, math/0204244.

Geometric And Functional Analysis LOW REGULARITY SOLUTIONS FOR THE KADOMTSEV – PETVIASHVILI I EQUATION

C. Kenig, G. Staffilani, 2002 .

A Para-Differential Renormalization Technique for Nonlinear Dispersive Equations

Herbert Koch, Carlos E. Kenig, Sebastian Herr, 2009, 0907.4649.

Equivariant schrödinger maps in two spatial dimensions

C. Kenig, A. Ionescu, D. Tataru, 2011, 1112.6122.

Mathematical aspects of nonlinear dispersive equations

Jean Bourgain, Carlos E. Kenig, Sergiu Klainerman, 2007 .

Free boundary regularity below the continuous threshold: 2-phase problems

C. Kenig, T. Toro, 2006 .

Poisson kernel characterization of Reifenberg flat chord arc domains

C. Kenig, T. Toro, 2003 .

Free boundary regularity for the Poisson kernel below the continuous threshold

C. Kenig, T. Toro, 2002 .

Gradient estimates for variable coefficient parabolic equations and singular perturbation problems

L. Caffarelli, C. Kenig, 1998 .

Flatness of domains and doubling properties of measures supported on their boundary, with applications to harmonic measure

C. Kenig, 1997 .

On the hull of holomorphy of an $n$-manifold in $C^n$

C. Kenig, S. Webster, 1984 .

Asymptotically optimally doubling measures and Reifenberg flat sets with vanishing constant

C. Kenig, G. David, T. Toro, 2001 .

The Calderón problem with partial data

G. Uhlmann, C. Kenig, G. Uhlmann, 2004, math/0405486.

On the free boundary regularity theorem of Alt and Caffarelli

C. Kenig, T. Toro, 2003 .

Degenerate diffusions : initial value problems and local regularity theory

Carlos E. Kenig, Panagiota Daskalopoulos, C. Kenig, 2007 .

Nonnegative solutions of the initial-Dirichlet problem for generalized porous medium equations in cylinders

C. Kenig, B. Dahlberg, 1988 .

Non-negative solutions of theo porous medium eqation

C. Kenig, B. Dahlberg, 1984 .

Uniform Lipschitz Estimates in Bumpy Half-Spaces

Christophe Prange, Carlos Kenig, C. Kenig, 2014, 1406.0344.

Homogenization of elliptic systems with Neumann boundary conditions

Zhongwei Shen, Carlos E. Kenig, Fanghua Lin, 2010, 1010.6114.

Area integral estimates for higher order elliptic equations and systems

C. Kenig, J. Pipher, G. Verchota, 1997 .

The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients

C. Kenig, J. Pipher, S. Mayboroda, 2013, 1301.5209.

Local well-posedness for dispersion-generalized Benjamin-Ono equations

C. Kenig, J. Colliander, G. Staffilani, 2002, Differential and Integral Equations.

Recent progress in the Calderon problem with partial data

Mikko Salo, Carlos E. Kenig, C. Kenig, 2013, 1302.4218.

The Calderón problem with partial data on manifolds and applications

C. Kenig, M. Salo, 2012, 1211.1054.

Non-uniform dependence on initial data for the CH equation on the line

Carlos Kenig, C. Kenig, A. Himonas, 2009, Differential and Integral Equations.

Unique Continuation for the Elasticity System and a Counterexample for Second-Order Elliptic Systems

C. Kenig, Jenn-Nan Wang, 2016 .

On Landis’ Conjecture in the Plane

C. Kenig, L. Silvestre, Jenn-Nan Wang, 2014, 1404.2496.

Quantitative unique continuation, logarithmic convexity of Gaussian means and Hardy's uncertainty principle

C. Kenig, 2008 .

A Counterexample in Unique Continuation

Carlos E. Kenig, Nikolai Nadirashvili, C. Kenig, 2000 .

Equivariant Schrödinger maps in two spatial dimensions: The $\mathbb{H}^{2}$ target

C. Kenig, A. Ionescu, D. Tataru, 2012, 1212.2566.

The Dirichlet problem in non-smooth domains

C. Kenig, D. Jerison, 1981 .

An identity with applications to harmonic measure

C. Kenig, D. Jerison, 1980 .

The Dirichlet problem for the biharmonic equation in a Lipschitz domain

C. Kenig, G. Verchota, B. Dahlberg, 1985 .

The local hull of holomorphy of a surface in the space of two complex variables

C. Kenig, S. Webster, 1982 .

Periodic Homogenization of Green and Neumann Functions

F. Lin, C. Kenig, Zhongwei Shen, 2014 .

Homogenization of Green and Neumann Functions

F. Lin, C. Kenig, Zhongwei Shen, 2012, 1201.1440.

Recent Progress in Boundary Value Problems on Lipschitz Domains

Carlos E. Kenig, C. Kenig, 1985 .

Hardy's uncertainty principle, convexity and Schrödinger evolutions

C. Kenig, G. Ponce, L. Vega, 2008, 0802.1608.

Convexity properties of solutions to the free Schr

C. Kenig, G. Ponce, L. Vega, 2007, 0710.2144.

On Uniqueness Properties of Solutions of Schrödinger Equations

C. Kenig, G. Ponce, L. Escauriaza, 2006 .

The Cauchy problem for the hyperbolic–elliptic Ishimori system and Schrödinger maps

C. Kenig, A. Nahmod, 2005 .

Well-posedness of the initial value problem for the Korteweg-de Vries equation

C. Kenig, G. Ponce, L. Vega, 1991 .

On the local and global well-posedness theory for the KP-I equation Sur le caractère bien posé local et global pour l'équation KP-I

Carlos E. Kenig, C. Kenig, 2004 .

The initial value problem for a class of nonlinear dispersive equations

C. Kenig, G. Ponce, L. Vega, 1990 .

Global Solutions for the KdV Equation with Unbounded Data

C. Kenig, G. Ponce, L. Vega, 1997 .

Uniqueness properties of solutions to Schrödinger equations

C. Kenig, G. Ponce, L. Vega, 2011, 1110.4873.

Uniqueness properties of solutions of Schrödinger equations

C. Kenig, A. Ionescu, 2006 .

On unique continuation for nonlinear Schrödinger equations

C. Kenig, G. Ponce, L. Vega, 2003 .

On the support of solutions to the g-KdV equation

C. Kenig, G. Ponce, L. Vega, 2000, math/0009065.

A P ] 6 S ep 2 00 0 On the support of solutions to the generalized KdV equation

C. Kenig, 2022 .

Lp Carleman inequalities and uniqueness of solutions of nonlinear Schrödinger equations

C. Kenig, A. Ionescu, 2004 .

On the Ill‐Posedness of the IVP for the Generalized Korteweg‐De Vries and Nonlinear Schrödinger Equations

Nils Svanstedt, Luis Vega, Gustavo Ponce, 1996 .

On the Initial Value Problem for the Ishimori System

C. Kenig, G. Ponce, L. Vega, 2000 .

The Hardy Uncertainty Principle Revisited

C. Kenig, G. Ponce, L. Vega, 2010, 1005.1543.

Hardy Uncertainty Principle, Convexity and Parabolic Evolutions

C. Kenig, G. Ponce, L. Vega, 2015, 1506.05670.

Unique Continuation for Schrödinger Evolutions, with Applications to Profiles of Concentration and Traveling Waves

C. Kenig, G. Ponce, L. Vega, 2010, 1010.1906.

A Theorem of Paley-Wiener Type for Schr\"odinger Evolutions

C. Kenig, G. Ponce, L. Vega, 2012, 1201.5587.

Decay at infinity of caloric functions within characteristic hyperplanes

C. Kenig, G. Ponce, L. Vega, 2005, math/0509436.

On the unique continuation of solutions to the generalized KdV equation

C. Kenig, 2003 .

Global Well-posedness, Scattering and Blow up for the Energy-critical, Focusing, Non-linear Schr¨odinger and Wave Equations

C. Kenig, 2009 .

On the energy critical focusing non-linear wave equation

F. Merle, C. Kenig, 2007 .

Lecture notes : Global Well-posedness, scattering and blow up for the energy-critical, focusing, non-linear Schrödinger and wave equations

C. Kenig, 2007 .

Scattering for radial bounded solutions of focusing supercritical wave equations in odd dimensions

Carlos E. Kenig, Guher Camliyurt, C. Kenig, 2023, Nonlinear Analysis.

Inverse problems for the anisotropic Maxwell equations

Gunther Uhlmann, Mikko Salo, Carlos E. Kenig, 2009, 0905.3275.

Restriction for flat surfaces of revolution in R3

A. Carbery, C. Kenig, S. Ziesler, 2007 .

Restriction for homogeneous polynomial surfaces in $\mathbb{R}^{3}$

A. Carbery, C. Kenig, S. Ziesler, 2012 .

Restriction for homogeneous polynomial surfaces in R^3

A. Carbery, C. Kenig, S. Ziesler, 2011 .

ψ-pseudodifferential operators and estimates for maximal oscillatory integrals

C. Kenig, W. Staubach, 2007 .

On Lp resolvent estimates for Laplace–Beltrami operators on compact manifolds

C. Kenig, M. Salo, David Dos Santos Ferreira, 2011, 1112.3216.

Lp resolvent estimates for magnetic Schrödinger operators with unbounded background fields

C. Kenig, Jean-Claude Cuenin, 2015, 1510.00066.

SOME NONLINEAR EQUATIONS ARISING IN GEOMETRY

C. Kenig, W. Ni, 2016 .

Convex domains and unique continuation at the boundary

C. Kenig, L. Escauriaza, V. Adolfsson, 1995 .

The Wiener test for degenerate elliptic equations

C. Kenig, D. Jerison, E. Fabes, 1982 .

Examples of non-Dini domains with large singular sets

C. Kenig, Zihui Zhao, 2022, Advanced Nonlinear Studies.

A Note on Boundary Unique Contination for Harmonic Functions in Non-Smooth Domains

C. Kenig, Wensheng Wang, 1998 .

Boundary Unique Continuation on $$C^1$$-Dini Domains and the Size of the Singular Set

Carlos Kenig, Zihui Zhao, C. Kenig, 2021, Archive for Rational Mechanics and Analysis.

Expansion of harmonic functions near the boundary of Dini domains

Carlos Kenig, Zihui Zhao, C. Kenig, 2021, Revista Matemática Iberoamericana.

The behavior of the free boundary near the fixed boundary for a minimization problem

C. Kenig, H. Shahgholian, A. Karakhanyan, 2006 .

Global energy minimizers for free boundary problems and full regularity in three dimensions

C. Kenig, D. Jerison, L. A. C. Arelli, 2004 .

Doubling inequalities and nodal sets in periodic elliptic homogenization

Carlos E. Kenig, Jinping Zhuge, Jiuyi Zhu, 2021, Communications in Partial Differential Equations.

Homogenization of elliptic boundary value problems in Lipschitz domains

C. Kenig, Zhongwei Shen, 2009, 0908.2135.

On the linearized local Calderon problem

G. Uhlmann, C. Kenig, G. Uhlmann, 2009, 0905.0530.

A Liouville theorem for the viscous Burgers’s equation

F. Merle, C. Kenig, 2002 .

FOR THE VISCOUS BURGERS'S EQUATION

F. Merle, C. Kenig, 2002 .

Estimates of eigenvalues and eigenfunctions in periodic homogenization

Zhongwei Shen, Carlos E. Kenig, Fanghua Lin, 2012, 1209.5458.

On Landis’ conjecture in the plane when the potential has an exponentially decaying negative part

C. Kenig, Jenn-Nan Wang, Blair Davey, 2018, 1808.09420.

Some recent quantitative unique continuation theorems

C. Kenig, 2006 .

Propagation of Smallness in Elliptic Periodic Homogenization

Carlos Kenig, Jiuyi Zhu, C. Kenig, 2019, SIAM J. Math. Anal..

Harmonic Measure: Geometric and Analytic Points of View

Carlos E. Kenig, Loredana Lanzani, C. Kenig, 2005 .

The regularity and Neumann problem for non-symmetric elliptic operators

C. Kenig, David J. Rule, 2006 .

Hardy spaces and the Neumann Problem in LP for Laplace's equation in

C. Kenig, E. Dahlberg, 2016 .

The Dirichlet problem for the biharmonic equation in a Lipschitz domain

C. Kenig, G. Verchota, B. Dahlberg, 1986 .

Chapter 1. On Strichartz’s Inequalities and the Nonlinear Schrödinger Equation on Irrational Tori

J. Bourgain, C. Kenig, 2009 .

Improved Regularity in Bumpy Lipschitz Domains

C. Kenig, Christophe Prange, 2015, 1504.01638.

Weak continuity of Banach algebra products

C. Kenig, H. Porta, 1975 .

On Uniqueness Properties of Solutions of Schrödinger Equations

C. Kenig, G. Ponce, L. Vega, 2006 .

Improved quantitative unique continuation for complex-valued drift equations in the plane

C. Kenig, Jenn-Nan Wang, Blair Davey, 2020, Forum Mathematicum.

The Calderón problem with partial data

C. Kenig, G. Uhlmann, J. Sjöstrand, 2004, math/0405486.

A note on unique continuation for Schrödinger’s operator

C. Kenig, C. Sogge, 1988 .

Divergence of eigenfunction expansions

C. Kenig, R. Stanton, P. A. Tomas, 1982 .

Antoni Zygmund’s Work on Singular Integrals

C. Kenig, W. Schlag, 2012 .

The h-path distribution of the lifetime of conditioned brownian motion for non-smooth domains

C. Kenig, J. Pipher, 1989 .

On the generalized Benjamin-Ono equation

C. Kenig, G. Ponce, L. Vega, 1994 .

The Calderón problem with partial data on manifolds and applications

C. Kenig, M. Salo, 2012, 1211.1054.

Hardy Uncertainty Principle, Convexity and Parabolic Evolutions

C. Kenig, G. Ponce, L. Vega, 2015, Communications in Mathematical Physics.

behavior of certain second order partial differential operators

C. Kenig, P. A. Tomas, 1980 .

L" BEHAVIOR OF CERTAIN SECOND ORDER PARTIAL DIFFERENTIAL OPERATORS

C. Kenig, Peter A. TOMAS1, 2010 .

Hardy spaces, $A_\infty$, and singular integrals on chord-arc domains

C. Kenig, D. Jerison, 1982 .

Equivariant Schr\"odinger Maps in two spatial dimensions

C. Kenig, A. Ionescu, D. Tataru, 2011 .

On the Stability of Certain Spin Models in 2+1 Dimensions

C. Kenig, A. Ionescu, I. Bejenaru, 2009, 0906.1312.

An area‐Dirichlet integral minimization problem

L. Caffarelli, S. Salsa, C. Kenig, 2001 .

Reconstructions from boundary measurements on admissible manifolds

C. Kenig, M. Salo, G. Uhlmann, 2010, 1011.0749.