International audienceIn this article we study the local-in-time Cauchy problem for the Schrödinger-Debye equations. This model occurs in nonlinear optics and describes the non-resonant delayed interaction of an electromagnetic wave with a medium. We extend the study to nonphysical cases such as the three-dimensional case or more general nonlinearities
The dissipative mechanism of the Schroedinger equation is mathematically described by the energy dec...
Reported in this paper are results concerning the Cauchy problem and the dynamics for a cubic nonlin...
The electromagnetic waves propagation in a non linear medium can be described by the Kerr model in c...
International audienceWe study the Cauchy problem for two systems of equations (Maxwell-Debye and Ma...
International audienceIn this article we implement different numerical schemes to simulate the Schrö...
The nonlinear Schrödinger equation has received a great deal of attention from mathematicians, in pa...
This thesis consists into three parts addressing various aspects of the study of dispersive wave equ...
Two nonlinear Maxwell systems are considered: Kerr model exhibiting an instantaneous response of the...
El propósito de este trabajo es abordar el buen planteamiento en los espacios de Sobolev H1(R),H2(R)...
This paper considers the one-dimensional Schrödinger equation with nonlocal nonlinearity that descri...
The Schrödinger equation, an equation central to quantum mechanics, is a dispersive equation which m...
AbstractWe study the global existence and long-time behavior of solutions of the initial-value probl...
We consider the Cauchy problem of a nonlocal nonlinear Schrödinger equation with self-induced parity...
In recent years, there has been considerable interest in non-linear Schrö-dinger equations with a p...
In this thesis we study the global in time solutions of some dispersive partial differential equatio...
The dissipative mechanism of the Schroedinger equation is mathematically described by the energy dec...
Reported in this paper are results concerning the Cauchy problem and the dynamics for a cubic nonlin...
The electromagnetic waves propagation in a non linear medium can be described by the Kerr model in c...
International audienceWe study the Cauchy problem for two systems of equations (Maxwell-Debye and Ma...
International audienceIn this article we implement different numerical schemes to simulate the Schrö...
The nonlinear Schrödinger equation has received a great deal of attention from mathematicians, in pa...
This thesis consists into three parts addressing various aspects of the study of dispersive wave equ...
Two nonlinear Maxwell systems are considered: Kerr model exhibiting an instantaneous response of the...
El propósito de este trabajo es abordar el buen planteamiento en los espacios de Sobolev H1(R),H2(R)...
This paper considers the one-dimensional Schrödinger equation with nonlocal nonlinearity that descri...
The Schrödinger equation, an equation central to quantum mechanics, is a dispersive equation which m...
AbstractWe study the global existence and long-time behavior of solutions of the initial-value probl...
We consider the Cauchy problem of a nonlocal nonlinear Schrödinger equation with self-induced parity...
In recent years, there has been considerable interest in non-linear Schrö-dinger equations with a p...
In this thesis we study the global in time solutions of some dispersive partial differential equatio...
The dissipative mechanism of the Schroedinger equation is mathematically described by the energy dec...
Reported in this paper are results concerning the Cauchy problem and the dynamics for a cubic nonlin...
The electromagnetic waves propagation in a non linear medium can be described by the Kerr model in c...
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