Large-Time Behavior of Solutions of Linear Dispersive Equations: 1668 - Brossura

Dix, Daniel B.

 
9783540634348: Large-Time Behavior of Solutions of Linear Dispersive Equations: 1668
Brossura
ISBN 10: 3540634347 ISBN 13: 9783540634348
Casa editrice: Springer, 2008

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

Laplace expansions, outer regions.- Expansion in the inner region, matching.- Uniformly valid expansions as t??.- Special results for special cases.- Applications.

Product Description

Book by Dix Daniel B

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer
Data di pubblicazione
2008
Lingua
Inglese
ISBN 10 
3540634347
ISBN 13 
9783540634348
Rilegatura
Copertina flessibile
Numero di pagine
228
Contatto del produttore
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Germania