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.

Detalles Bibliográficos
Autores: Alves, Margareth, Sepúlveda, Mauricio, Vera, Octavio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2009
País:Brasil
Institución:Universidade Federal de Viçosa (UFV)
Repositorio:LOCUS Repositório Institucional da UFV
Idioma:inglés
OAI Identifier:oai:locus.ufv.br:123456789/22079
Acceso en línea:https://doi.org/10.1016/j.na.2008.11.010
http://www.locus.ufv.br/handle/123456789/22079
Access Level:acceso abierto
Palabra clave:Evolution equations
Weighted Sobolev space
Gain in regularity
Descripción
Sumario: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.