Volume 3 (2020)
Colin, Mathieu; Watanabe, Tatsuya
Cauchy problem for the nonlinear Schrödinger equation coupled with the Maxwell equation
Annales Henri Lebesgue, Volume 3 (2020), pp. 67-85.

Metadata

DOI10.5802/ahl.27
Keywords Schrödinger–Maxwell system, Cauchy problem, symmetric hyperbolic system, energy method

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.


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