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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]
WATANABE, Tatsuya
Kyoto Sangyo University
Langue
en
Document de travail - Pré-publication
Résumé en anglais
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.
Mots clés en anglais
Schrödinger-Maxwell system
Cauchy problem
Symmetric hyperbolic system
Energy method
URI
https://oskar-bordeaux.fr/handle/20.500.12278/193123
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