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| NONLINEAR THEORY OF PSEUDODIFFERENTIAL EQUATIONS ON A HALF-LINE, 194
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By
Nakao Hayashi, Osaka University, Japan
Elena Kaikina, Technological Institute of Morelia, Mexico.
Included in series
North-Holland Mathematics Studies, 194
Description
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 solutions and their properties, in particular much attention is drawn to the asymptotic behavior of solutions
for large time. Up to now the theory of nonlinear initial-boundary value problems with a general pseudodifferential operator has not
been well developed due to its difficulty. There are many open natural questions. Firstly how many boundary data should we pose on the
initial-boundary value problems for its correct solvability? As far as we know there are few results in the case of nonlinear nonlocal
equations. The methods developed in this book are applicable to a wide class of dispersive and dissipative nonlinear equations, both
local and nonlocal.
Audience
Mathematicians, Physicists, Engineers and graduate students.
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
| Bibliographic details |
Hardbound, 340 pages, publication date: JAN-2004
ISBN-13: 978-0-444-51569-8
ISBN-10: 0-444-51569-0
Imprint: ELSEVIER
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| Price and Ordering |
Price:
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GBP 126.99
EUR 149.95
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Last update: 30 Nov 2009
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