THE CAUCHY PROBLEM FOR SCHRÖDINGER–DEBYE EQUATIONS-Reference-Cited by-同舟云学术

THE CAUCHY PROBLEM FOR SCHRÖDINGER–DEBYE EQUATIONS

Published:2000-04 Issue:03 Volume:10 Page:307-315
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

BIDÉGARAY BRIGITTE¹

Affiliation:

1. Laboratoire Mathématiques pour l'Industrie et la Physique, CNRS UMR 5640, Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex 4, France

Abstract

In this paper 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202500000185

Reference5 articles.

1. Blow-up results of viriel type for Zakharov equations

2. Existence and smoothing effect of solutions for the Zakharov equations

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