Smoothing properties for the higher-order nonlinear Schrödinger equation with constant coefficients

We study local and global existence and smoothing properties for the initial value problem associated to a higher-order nonlinear Schrödinger equation with constant coefficients which appears as a model for propagation of pulse in an optical fiber.

Detalhes bibliográficos
Autores: Alves, Margareth, Sepúlveda, Mauricio, Vera, Octavio
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2009
País:Brasil
Recursos:Universidade Federal de Viçosa (UFV)
Repositório:LOCUS Repositório Institucional da UFV
Idioma:inglês
OAI Identifier:oai:locus.ufv.br:123456789/22079
Acesso em linha:https://doi.org/10.1016/j.na.2008.11.010
http://www.locus.ufv.br/handle/123456789/22079
Access Level:Acceso aberto
Palavra-chave:Evolution equations
Weighted Sobolev space
Gain in regularity
Descrição
Resumo:We study local and global existence and smoothing properties for the initial value problem associated to a higher-order nonlinear Schrödinger equation with constant coefficients which appears as a model for propagation of pulse in an optical fiber.