Cauchy problem for the nonlinear Schrödinger equation coupled with the Maxwell equation
COLIN, Mathieu
Institut Polytechnique de Bordeaux [Bordeaux INP]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Institut de Mathématiques de Bordeaux [IMB]
Institut Polytechnique de Bordeaux [Bordeaux INP]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Institut de Mathématiques de Bordeaux [IMB]
COLIN, Mathieu
Institut Polytechnique de Bordeaux [Bordeaux INP]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Institut de Mathématiques de Bordeaux [IMB]
< Reduce
Institut Polytechnique de Bordeaux [Bordeaux INP]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Institut de Mathématiques de Bordeaux [IMB]
Language
en
Document de travail - Pré-publication
English Abstract
In this paper, we study the nonlinear Schrödinger equation coupled with the Maxwell equation. Using energy methods, we obtain a local existence result for the Cauchy problem.
In this paper, we study the nonlinear Schrödinger equation coupled with the Maxwell equation. Using energy methods, we obtain a local existence result for the Cauchy problem.Read less <
English Keywords
Schrödinger-Maxwell system
Cauchy problem
Symmetric hyperbolic system
Energy method
Origin
Hal imported