Nonlinear theory of pseudodifferential equations on a half-line /

This book is the first attempt to develop systematically a general theory of the initial-boundary value problems for nonlinear evolution equations with pseudodifferential operators Ku on a half-line or on a segment. We study traditionally important problems, such as local and global existence of sol...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Hayashi, Nakao
Otros Autores: Kaikina, Elena
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; Boston : Elsevier, 2004.
Edición:1st ed.
Colección:North-Holland mathematics studies ; 194.
Temas:
Evolution equations, Nonlinear.
Pseudodifferential operators.
�Equations d'�evolution non lin�eaires.
Op�erateurs pseudo-diff�erentiels.
Acceso en línea:Texto completo
Texto completo
Texto completo
Tabla de Contenidos:
  • Introduction
  • 1 Preliminaries
  • 2 Sobolev spaces
  • 3 General Theory
  • 4 Nonlinear Schrodinger Type Equations
  • 5 Whitham Equation
  • 6 Korteweg-de Vries-Burgers Equation
  • 7 Large Initial Data
  • 8 KdV-B Type Equation
  • 9 Dirichlet Problem for KdV Equation
  • 10 Neumann Problem for KdV Equation
  • 11 Landau-Ginzburg Equations
  • 12 Burgers Equation with Pumping
  • 13 KdVB Equation on a Segment
  • 14 NLS Equation on Segment
  • 15 Periodic Problem
  • Bibliography
  • Index.

Ejemplares similares