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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Hayashi, Nakao
Other Authors: Kaikina, Elena
Format: Electronic eBook
Language:Inglés
Published: Amsterdam ; Boston : Elsevier, 2004.
Edition:1st ed.
Series:North-Holland mathematics studies ; 194.
Subjects:
Evolution equations, Nonlinear.
Pseudodifferential operators.
�Equations d'�evolution non lin�eaires.
Op�erateurs pseudo-diff�erentiels.
Online Access:Texto completo
Texto completo
Texto completo
Table of Contents:
  • 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.

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