X. Carvajal

发表

Exact traveling waves solutions for long waves and blow-up phenomena

O. Vera, P. Gamboa, X. Carvajal, 2016 .

A priori estimates for solutions of a nonlinear dispersive equation

X. Carvajal, 2005, math/0508444.

Sharp Global Well-Posedness for a Higher Order Schrodinger Equation

X. Carvajal, 2005, math/0504568.

On well-posedness of the third-order nonlinear Schrödinger equation with time-dependent coefficients

M. Scialom, M. Panthee, X. Carvajal, 2015 .

NEW GLOBAL WELL-POSEDNESS RESULT FOR A HIGHER ORDER SCHRÖDINGER EQUATION

X. Carvajal, Raúl Prado, R. Brazil, 2008 .

On uniqueness of solution for a nonlinear Schrödinger–Airy equation

M. Panthee, X. Carvajal, 2006 .

Sharp Global Well-Posedness for a Higher Order Schrodinger Equation

X. Carvajal, 2005, math/0504568.

On local well-posedness and ill-posedness results for a coupled system of mkdv type equations

L. Esquivel, X. Carvajal, Raphael Santos, 2021, Discrete & Continuous Dynamical Systems.

A remark on the local well-posedness for a coupled system of mKdV type equations in H^s × H^k

X. Carvajal, 2020, Differential Equations & Applications.

Sharp well-posedness for a coupled system of mKdV-type equations

M. Panthee, X. Carvajal, 2018, Journal of Evolution Equations.

Well-Posedness Results and Dissipative Limit of High Dimensional KdV-Type Equations

A. Esfahani, M. Panthee, X. Carvajal, 2017 .

A note on local well-posedness of generalized KdV type equations with dissipative perturbations

M. Panthee, X. Carvajal, 2013, 1305.0511.

WELL-POSEDNESS FOR A FAMILY OF PERTURBATIONS OF THE KdV EQUATION IN PERIODIC SOBOLEV SPACES OF NEGATIVE ORDER

X. Carvajal, Ricardo A. Pastrán, 2011, 1105.2995.

WELL-POSEDNESS OF KDV TYPE EQUATIONSS

M. Panthee, X. Carvajal, 2012 .

Well-posedness of KdV type equations

M. Panthee, X. Carvajal, 2012 .

Higher-Order Hamiltonian Model for Unidirectional Water Waves

J. Bona, M. Scialom, M. Panthee, 2017, Journal of Nonlinear Science.

Nonlinear schrödinger equations with the third order dispersion on modulation spaces

M. Panthee, X. Carvajal, 2022, Partial Differential Equations and Applications.

Operators that attain their minima

W. Neves, X. Carvajal, 2014, Bulletin of the Brazilian Mathematical Society, New Series.

Operators That Achieve the Norm

X. Carvajal, Wladimir Neves, 2011, Integral Equations and Operator Theory.

On the local well-posedness for some systems of coupled KdV equations

X. Carvajal, Borys Álvarez-Samaniego, 2007, 0705.0482.

On uniqueness and decay of solution for Hirota equation

Xavier Carvajal, Mahendra Panthee, M. Panthee, 2010, Appl. Math. Comput..

A SYSTEM OF COUPLED SCHRÖDINGER EQUATIONS WITH TIME-OSCILLATING NONLINEARITY

M. Panthee, P. Gamboa, X. Carvajal, 2012 .

Sharp ill-posedness and well-posedness results for dissipative KdV equations on the real line

P. Gamboa, X. Carvajal, Raphael Santos, 2019, 1905.06433.

SHARP WELL–POSEDNESS AND ILL–POSEDNESS RESULTS

P. Gamboa, X. Carvajal, Raphael Santos, 2021 .

On the critical KdV equation with time-oscillating nonlinearity

M. Scialom, M. Panthee, X. Carvajal, 2011, Differential and Integral Equations.

Well-posedness for a perturbation of the KdV equation

L. Esquivel, X. Carvajal, 2019, Nonlinear Differential Equations and Applications NoDEA.

On the well-posedness of higher order viscous Burgers' equations

M. Panthee, X. Carvajal, 2014, 1403.0791.

Sharp local well-posedness of KdV type equations with dissipative perturbations

M. Panthee, X. Carvajal, 2013, 1304.6640.

Persistence property in weighted Sobolev spaces for nonlinear dispersive equations

W. Neves, X. Carvajal, 2013, 1303.7123.

Sharp well-posedness for a coupled system of mKdV-type equations

M. Panthee, X. Carvajal, 2019, Journal of Evolution Equations.

Operators That Achieve the Norm

W. Neves, X. Carvajal, 2010, 1007.1477.

Higher-Order Hamiltonian Model for Unidirectional Water Waves

Jerry L. Bona, Xavier Carvajal, Mahendra Panthee, 2015, J. Nonlinear Sci..

Operators that attain their minima

W. Neves, X. Carvajal, 2013, 1304.2684.

On the ill-posedness for a nonlinear Schrödinger-Airy equation

X. Carvajal, 2012 .

Persistence of solutions to higher order nonlinear Schr

W. Neves, X. Carvajal, 2010, 1003.3585.

LOCAL WELL-POSEDNESS FOR A HIGHER ORDER NONLINEAR SCHR ¨ ODINGER EQUATION IN SOBOLEV SPACES OF NEGATIVE INDICES

X. Carvajal, 2004 .

On the well-posedness, ill-posedness and norm-inflation for a higher order water wave model on a periodic domain

M. Panthee, X. Carvajal, Ricardo A. Pastrán, 2019, Nonlinear Analysis.

On sharp global well-posedness and ill-posedness for a fifth-order KdV-BBM type equation

M. Panthee, X. Carvajal, 2018, Journal of Mathematical Analysis and Applications.

Nonlinear schrödinger equations with the third order dispersion on modulation spaces

M. Panthee, X. Carvajal, 2022 .

Unique continuation property for a higher order nonlinear Schrödinger equation

M. Panthee, X. Carvajal, 2005 .

Sharp global well-posedness for the cubic nonlinear Schr\"odinger equation with third order dispersion

M. Panthee, X. Carvajal, 2023, 2303.02435.

Comparison between model equations for long waves and blow-up phenomena

M. Scialom, M. Panthee, X. Carvajal, 2016 .

Well-posedness for some perturbations of the kdv equation with low regularity data

M. Panthee, X. Carvajal, 2008 .

Sharp well-posedness and ill-posedness results for dissipative KdV equations on the real line

P. Gamboa, X. Carvajal, Raphael Santos, 2021, Differential Equations & Applications.

A remark on admissible triples for the generalized KdV equation

X. Carvajal, 2012 .

On the well-posedness for the generalized Ostrovsky, Stepanyams and Tsimring equation☆

M. Scialom, X. Carvajal, 2005 .