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Large-Time Behavior of Solutions of Linear Dispersive Equations

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ISBN-10: 3540634347

ISBN-13: 9783540634348

Edition: 1997

Authors: Daniel B. Dix, A. Dold, F. Takens

List price: $54.99
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This book studies the large-time asymptotic behavior of solutions of the pure initial value problem for linear dispersive equations with constant coefficients and homogeneous symbols in one space dimension. Complete matched and uniformly-valid asymptotic expansions are obtained and sharp error estimates are proved. Using the method of steepest descent much new information on the regularity and spatial asymptotics of the solutions are also obtained. Applications to nonlinear dispersive equations are discussed. This monograph is intended for researchers and graduate students of partial differential equations. Familiarity with basic asymptotic, complex and Fourier analysis is assumed.
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Book details

List price: $54.99
Copyright year: 1997
Publisher: Springer Berlin / Heidelberg
Publication date: 9/18/1997
Binding: Paperback
Pages: 203
Size: 6.10" wide x 9.25" long x 0.50" tall
Weight: 1.584
Language: English

Laplace expansions, outer regions
Expansion in the inner region, Matching
Uniformly Valid Expansions as [actual symbol not reproducible]
Special Results for Special Cases
Subject Index