P. Souganidis

发表

Convergence of approximation schemes for fully nonlinear second order equations

G. Barles, P. Souganidis, 1990, 29th IEEE Conference on Decision and Control.

Approximation schemes for viscosity solutions of Hamilton-Jacobi equations

P. Souganidis, 1985 .

Differential Games and Representation Formulas for Solutions of Hamilton-Jacobi-Isaacs Equations.

P. Souganidis, L. Evans, 1983 .

Threshold dynamics type approximation schemes for propagating fronts

P. Souganidis, H. Ishii, G. E. Pires, 1999 .

A New Approach to Front Propagation Problems: Theory and Applications

G. Barles, P. Souganidis, 1998 .

Phase Transitions and Generalized Motion by Mean Curvature

P. Souganidis, H. Soner, L. Evans, 1992 .

RATES OF CONVERGENCE FOR MONOTONE APPROXIMATIONS OF VISCOSITY SOLUTIONS OF FULLY NONLINEAR UNIFORMLY ELLIPTIC PDE (Viscosity Solutions of Differential Equations and Related Topics)

P. Souganidis, 2009 .

Front propagation for reaction-diffusion equations of bistable type

G. Barles, P. Souganidis, L. Bronsard, 1992 .

Stability and instability of solitary waves of Korteweg-de Vries type

P. Souganidis, J. Bona, W. Strauss, 1987, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

Existence and stability of entropy solutions for the hyperbolic systems of isentropic gas dynamics in Eulerian and Lagrangian coordinates

P. Souganidis, B. Perthame, P. Lions, 1998 .

Two-Player, Zero-Sum Differential Games and Viscosity Solutions

P. Souganidis, 1999 .

Asymptotic Series and the Methods of Vanishing Viscosity

P. Souganidis, W. Fleming, 1985 .

Fully nonlinear stochastic partial differential equations

P. Souganidis, P. Lions, 1998 .

Instability of a class of dispersive solitary waves

P. Souganidis, W. Strauss, 1990, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

PDE-viscosity solution approach to some problems of large deviations

P. Souganidis, W. Fleming, 1986 .

Convergence of MUSCL and filtered schemes for scalar conservation laws and Hamilton-Jacobi equations

P. Souganidis, P. Lions, 1995 .

The Deterministic and Stochastic Shallow Lake Problem

P. Souganidis, M. Loulakis, G. Kossioris, 2016, Probability and Analysis in Interacting Physical Systems.

A PDE approach to geometric optics for certain semilinear parabolic equations

P. Souganidis, L. Evans, 1989 .

Fully nonlinear stochastic partial differential equations: non-smooth equations and applications

P. Souganidis, P. Lions, 1998 .

Long‐Time Behavior, Invariant Measures, and Regularizing Effects for Stochastic Scalar Conservation Laws

P. Souganidis, B. Gess, 2014, 1411.3939.

Convergence of Nonlocal Threshold Dynamics Approximations to Front Propagation

P. Souganidis, L. Caffarelli, 2008, 0805.2618.

Stochastic homogenization of Hamilton–Jacobi equations and some applications

P. Souganidis, 1999 .

Remarks on the Dirichlet Problem for Quasilinear Elliptic and Parabolic Equations

G. Barles, P. Souganidis, E. Rouy, 1999 .

Wavefront propagation for reaction-diffusion systems of PDE

G. Barles, P. Souganidis, L. Evans, 1990 .

A PDE approach to certain large deviation problems for systems of parabolic equations

P. Souganidis, L. Evans, 1989 .

A uniqueness result for viscosity solutions of second order fully nonlinear partial di

P. Souganidis, P. Lions, R. Jensen, 1988 .

Blow-Up of solutions of hamilton-jacobi equations

P. Souganidis, A. Friedman, 1986 .

Existence of viscosity solutions of Hamilton-Jacobi equations

P. Souganidis, 1985 .

Max-min representations and product formulas for the viscosity solutions of Hamilton-Jacobi equations with applications to differential games

P. Souganidis, 1985 .

Convergence of approximation schemes for fully nonlinear second order equations

G. Barles, P. Souganidis, 1991 .

Differential Games, Optimal Control and Directional Derivatives of Viscosity Solutions of Bellman’s and Isaacs’ Equations

P. Souganidis, P. Lions, 1985 .

Uniqueness of motion by mean curvature perturbed by stochastic noise

Panagiotis E. Souganidis, Nung Kwan Yip, P. Souganidis, 2004 .

Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations

P. Souganidis, P. Cardaliaguet, S. Armstrong, 2012, 1206.2601.

Asymptotic and numerical homogenization

Panagiotis E. Souganidis, Björn Engquist, P. Souganidis, 2008, Acta Numerica.

Time fluctuations in a population model of adaptive dynamics

Panagiotis E. Souganidis, Sepideh Mirrahimi, Benoit Perthame, 2013, 1306.0376.

Stochastic averaging lemmas for kinetic equations

Panagiotis E. Souganidis, Pierre-Louis Lions, Benoit Perthame, 2012, 1204.0317.

A limiting case for velocity averaging

Panagiotis E. Souganidis, Benoît Perthame, P. Souganidis, 1998 .

Uniqueness of weak solutions of fully nonlinear stochastic partial differential equations

Panagiotis E. Souganidis, Pierre-Louis Lions, P. Souganidis, 2000 .

Recent developments in the theory of front propagation and its applications

P. Souganidis, 2002 .

Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications

Panagiotis E. Souganidis, Pierre-Louis Lions, P. Souganidis, 2005 .

Homogenization of the backward-forward meanfield games systems in periodic environments

P. Souganidis, P. Lions, 2019, Rendiconti Lincei - Matematica e Applicazioni.

Stochastic non-isotropic degenerate parabolic–hyperbolic equations

Panagiotis E. Souganidis, Benjamin Gess, P. Souganidis, 2016, 1611.01303.

Pathwise Solutions for Fully Nonlinear First- and Second-Order Partial Differential Equations with Multiplicative Rough Time Dependence

P. Souganidis, 2018, Lecture Notes in Mathematics.

Speed of propagation for Hamilton–Jacobi equations with multiplicative rough time dependence and convex Hamiltonians

P. Souganidis, P. Lions, Paul Gassiat, 2018, Probability Theory and Related Fields.

Free boundary problems for Tumor Growth: a Viscosity solutions approach

Inwon C. Kim, P. Souganidis, B. Perthame, 2015, 1507.00796.

Super-linear propagation for a general, local cane toads model

P. Souganidis, B. Perthame, Christopher Henderson, 2017, Interfaces and Free Boundaries.

Stochastic Homogenization of Level-Set Convex Hamilton–Jacobi Equations

P. Souganidis, S. Armstrong, 2012, 1203.6303.

The reactive-telegraph equation and a related kinetic model

P. Souganidis, Christopher Henderson, 2017, 1706.00483.

A remark about viscosity solutions of Hamilton-Jacobi equations at the boundary

P. Souganidis, 1986 .

Phasefield theory for fractional diffusion-reaction equations and applications

P. Souganidis, C. Imbert, 2009, 0907.5524.

Mean field games with common noise and degenerate idiosyncratic noise

P. Souganidis, P. Cardaliaguet, B. Seeger, 2022, 2207.10209.

Speed of propagation for Hamilton–Jacobi equations with multiplicative rough time dependence and convex Hamiltonians

P. Souganidis, P. Lions, Paul Gassiat, 2019, Probability Theory and Related Fields.

The reactive-telegraph equation and a related kinetic model

P. Souganidis, Christopher Henderson, 2017, Nonlinear Differential Equations and Applications NoDEA.

A homogenization approach for the motion of motor proteins

P. Souganidis, S. Mirrahimi, 2012, Nonlinear Differential Equations and Applications NoDEA.

Long-time behaviour of stochastic Hamilton-Jacobi equations

P. Souganidis, P. Lions, Paul Gassiat, 2022, 2211.12099.

An Algebraic Convergence Rate for the Optimal Control of McKean-Vlasov Dynamics

P. Souganidis, P. Cardaliaguet, Joseph H. P. Jackson, 2022, SIAM J. Control. Optim..

Monotone Solutions of the Master Equation for Mean Field Games with Idiosyncratic Noise

P. Souganidis, P. Cardaliaguet, 2022, SIAM J. Math. Anal..

A homogenization approach to flashing ratchets

P. Souganidis, B. Perthame, 2011 .

Singularities and uniqueness of cylindrically symmetric surfaces moving by mean curvature

Panagiotis E. Souganidis, H. M. Soner, P. Souganidis, 1993 .

Stochastic Ising models and anisotropic front propagation

Panagiotis E. Souganidis, Markos A. Katsoulakis, P. Souganidis, 1997 .

Interacting particle systems and generalized evolution of fronts

P. Souganidis, M. Katsoulakis, 1994 .

Stochastic homogenization of Hamilton-Jacobi and degenerate Bellman equations in unbounded environments

P. Souganidis, S. Armstrong, 2011, 1103.2814.

Homogenization of “Viscous” Hamilton–Jacobi Equations in Stationary Ergodic Media

Panagiotis E. Souganidis, Pierre-Louis Lions, P. Souganidis, 2005 .

Front propagation for a jump process model arising in spacial ecology

P. Souganidis, B. Perthame, 2005 .

Interpolation results for pathwise Hamilton-Jacobi equations

P. Souganidis, P. Lions, B. Seeger, 2020, Indiana University Mathematics Journal.

Front propagation for integro-differential KPP reaction–diffusion equations in periodic media

P. Souganidis, Andrei Tarfulea, 2019, Nonlinear Differential Equations and Applications NoDEA.

Front propagation for integro-differential KPP reaction–diffusion equations in periodic media

P. Souganidis, Andrei Tarfulea, 2019, Nonlinear Differential Equations and Applications NoDEA.

Front Propagation for Nonlocal KPP Reaction-Diffusion Equations in Periodic Media

P. Souganidis, Andrei Tarfulea, 2017, 1707.00419.

Front propagation: Theory and applications

Panagiotis E. Souganidis, P. Souganidis, 1997 .

Homogenization and Enhancement of the G‐Equation in Random Environments

P. Souganidis, P. Cardaliaguet, 2011, 1110.1760.

Homogenization and Enhancement for the G—Equation

Panagiotis E. Souganidis, Pierre Cardaliaguet, James Nolen, 2010, 1003.4160.

A discussion about the homogenization of moving interfaces

Panagiotis E. Souganidis, Pierre-Louis Lions, Pierre Cardaliaguet, 2009 .

The asymptotics of stochastically perturbed reaction-diffusion equations and front propagation

P. Souganidis, P. Lions, 2019, 1909.05673.

Brownian fluctuations of flame fronts with small random advection

P. Souganidis, Christopher Henderson, 2018, Mathematical Models and Methods in Applied Sciences.

On the Large Time Behavior of Solutions of Hamilton-Jacobi Equations

Guy Barles, Panagiotis E. Souganidis, G. Barles, 2000, SIAM J. Math. Anal..

A homogenization approach for the motion of motor proteins

P. Souganidis, S. Mirrahimi, 2012, 1201.3747.

Rare mutations limit of a steady state dispersion trait model

P. Souganidis, B. Perthame, 2015, 1505.03420.

Space-Time Periodic Solutions and Long-Time Behavior of Solutions to Quasi-linear Parabolic Equations

Guy Barles, Panagiotis E. Souganidis, G. Barles, 2001, SIAM J. Math. Anal..

Large-Time Behavior for Viscous and Nonviscous Hamilton-Jacobi Equations Forced by Additive Noise

Panagiotis E. Souganidis, Nicolas Dirr, P. Souganidis, 2005, SIAM J. Math. Anal..

Anisotropic Motion of an Interface Relaxed by the Formation of Infinitesimal Wrinkles

P. Souganidis, H. Soner, M. Gurtin, 1995 .

Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales

P. Souganidis, A. Majda, 1994 .

Comparison of turbulent flame speeds from complete averaging and the G‐equation

Andrew J. Majda, Panagiotis E. Souganidis, P. Souganidis, 1995 .

Semi-discretization for Stochastic Scalar Conservation Laws with Multiple Rough Fluxes

Panagiotis E. Souganidis, Benjamin Gess, Benoit Perthame, 2015, SIAM J. Numer. Anal..

Phase-field theory for Fitzhugh-Nagumo-type systems

Panagiotis E. Souganidis, Pierpaolo Soravia, P. Souganidis, 1996 .

On the Langevin equation with variable friction

P. Souganidis, H. Ishii, H. Tran, 2017, Calculus of Variations and Partial Differential Equations.

On the Langevin equation with variable friction

P. Souganidis, H. Ishii, H. Tran, 2017, 1705.05478.

The Effect of Turbulence on Mixing in Prototype Reaction-Diffusion Systems

P. Souganidis, A. Majda, 2000 .

A pde approach to small stochastic perturbations of Hamiltonian flows

P. Souganidis, H. Ishii, 2012 .

Effective geometric front dynamics for premixed turbulent combustion with separated velocity scales

Andrew J. Majda, Panagiotis E. Souganidis, P. Souganidis, 1994 .

Scaling limits and stochastic homogenization for some nonlinear parabolic equations

Panagiotis E. Souganidis, Pierre Cardaliaguet, Nicolas Dirr, 2020, Journal of Differential Equations.

A rate of convergence for monotone finite difference approximations to fully nonlinear, uniformly elliptic PDEs

Panagiotis E. Souganidis, Luis A. Caffarelli, P. Souganidis, 2008 .

Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor

Hitoshi Ishii, Panagiotis E. Souganidis, P. Souganidis, 1995 .

Dissipative and Entropy Solutions to Non-Isotropic Degenerate Parabolic Balance Laws

Panagiotis E. Souganidis, Benoît Perthame, P. Souganidis, 2003 .

Scalar conservation laws with multiple rough fluxes

Panagiotis E. Souganidis, Benjamin Gess, P. Souganidis, 2014, 1406.2978.

Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case

Panagiotis E. Souganidis, Pierre-Louis Lions, Benoit Perthame, 2014, Stochastic Partial Differential Equations: Analysis and Computations.

Scalar conservation laws with rough (stochastic) fluxes

Panagiotis E. Souganidis, Pierre-Louis Lions, Benoit Perthame, 2013, Stochastic Partial Differential Equations: Analysis and Computations.

On first order mean field game systems with a common noise

P. Souganidis, P. Cardaliaguet, 2020, The Annals of Applied Probability.

Addendum to: “Dissipative and Entropy Solutions to Non-Isotropic Degenerate Parabolic Balance Laws”

P. Souganidis, B. Perthame, 2004 .

Maximal solutions and universal bounds for some partial differential equations of evolution

P. Souganidis, P. Lions, M. Crandall, 1989 .

Correctors for the homogenization of Hamilton‐Jacobi equations in the stationary ergodic setting

Panagiotis E. Souganidis, Pierre-Louis Lions, P. Souganidis, 2003 .

Scalar conservation laws with rough (stochastic) fluxes: the spatially dependent case

P. Souganidis, B. Perthame, P. Lions, 2014, Stochastic Partial Differential Equations: Analysis and Computations.

Scalar conservation laws with rough (stochastic) fluxes

P. Souganidis, B. Perthame, P. Lions, 2013, Stochastic Partial Differential Equations: Analysis and Computations.

Existence and uniqueness of weak solutions for precipitation fronts: A novel hyperbolic free boundary problem in several space variables

P. Souganidis, A. Majda, 2010 .

Regularity of the value function and quantitative propagation of chaos for mean field control problems

P. Souganidis, P. Cardaliaguet, 2022, Nonlinear Differential Equations and Applications NoDEA.

Weak solutions of the master equation for Mean Field Games with no idiosyncratic noise

Pierre Cardaliaguet, Panagiotis Souganidis, P. Souganidis, 2021, 2109.14911.

Extended mean-field games

P. Souganidis, P. Lions, 2020 .

Asymmetric Potentials and Motor Effect: A Large Deviation Approach

P. Souganidis, B. Perthame, 2007, 0705.2878.

Uniqueness and singularities of cylindrically symmetric surfaces moving by mean curvature

P. Souganidis, H. Soner, 1991 .

Concentration phenomena for neutronic multigroup diffusion in random environments

P. Souganidis, S. Armstrong, 2012, 1202.1246.

Homogenization of fully nonlinear, uniformly elliptic and parabolic partial differential equations in stationary ergodic media

Panagiotis E. Souganidis, Luis A. Caffarelli, Lihe Wang, 2005 .

Stochastic homogenization of Hamilon-Jacobi and "viscous"-Hamilton-Jacobi equations with convex nonlinearities -- Revisited

P. Souganidis, P. Lions, 2010 .

Rates of convergence for the homogenization of fully nonlinear uniformly elliptic pde in random media

P. Souganidis, L. Caffarelli, 2010 .

Large time average of reachable sets and Applications to Homogenization of interfaces moving with oscillatory spatio-temporal velocity

P. Souganidis, H. Tran, W. Jing, 2014, 1408.2013.

Interface Dynamics in Phase Transitions

P. Souganidis, 1995 .

A REMARK ON THE ASYMPTOTIC BEHAVIOR OF THE RESOLUTION OF THE KPP EQUATION

G. Barles, P. Souganidis, 1994 .

Asymptotic series for solutions to the dynamic programming equation for diffusions with small noise

P. Souganidis, W. Fleming, 1985, 1985 24th IEEE Conference on Decision and Control.

Viscosity Solutions of Second-Order Equations, Stochastic Control and Stochastic Differential Games

P. Souganidis, P. Lions, 1988 .

A regularity result for viscosity solutions of Hamilton-Jacobi equations in one space dimension

P. Souganidis, R. Jensen, 1987 .

.AsYbIpTOTIC SERIES FOR SOLUTIOSS TO THE DYX.UlIC PROGR.MDI1h'G EQUATION FOR DIFFUSIONS KITH SblALL NOISE

P. Souganidis, K. H. Fleming, 1985 .

A PDE approach to asymptotic estimates for optimal exit probabilities

P. Souganidis, W. Fleming, 1985 .

Developments in the Theory of Nonlinear First-Order Partial Differential Equations

P. Souganidis, M. Crandall, 1984 .

Sharp convergence rates for mean field control in the region of strong regularity

P. Souganidis, P. Cardaliaguet, Nikiforos Mimikos-Stamatopoulos, 2023, 2312.11373.

Eikonal equations and pathwise solutions to fully non-linear SPDEs

Panagiotis E. Souganidis, Pierre-Louis Lions, Peter K. Friz, 2016, Stochastics and Partial Differential Equations: Analysis and Computations.

Stochastic homogenization of $L^\infty$ variational problems

P. Souganidis, S. Armstrong, 2011, 1109.2853.

Rare mutations limit of a steady state dispersal evolution model

P. Souganidis, B. Perthame, 2016 .

Generalized motion by mean curvature as a macroscopic limit of stochastic ising models with long range interactions and Glauber dynamics

P. Souganidis, M. Katsoulakis, 1995 .

Examples and Counterexamples for Huygens Principle in Premixed Combustion

P. Souganidis, A. Majda, P. Embid, 1996 .

Differential games and directional derivatives of viscosity solutions of Issacs' equations II

P. Souganidis, P. Lions, P L Lions, 1986 .

Viscosity solutions and applications : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 12-20, 1995

Centro internazionale matematico estivo. Session, Panagiotis E. Souganidis, Pierre-Louis Lions, 1997 .

Viscosity Solutions of Fully Nonlinear Stochastic Partial Differential Equatios (微分方程式の粘性解とその周辺研究集会報告集)

P. Souganidis, P. Lions, 2002 .

Stochastic homogenization of viscous superquadratic Hamilton–Jacobi equations in dynamic random environment

P. Souganidis, H. Tran, W. Jing, 2016, 1606.06409.

Fully nonlinear stochastic PDE with semilinear stochastic dependence

Panagiotis E. Souganidis, Pierre-Louis Lions, P. Souganidis, 2000 .

Flame fronts in a turbulent combustion model with fractal velocity fields

Andrew J. Majda, Panagiotis E. Souganidis, P. Souganidis, 1998 .