Large-Time Behavior of Solutions of Linear Dispersive Equations

You must be logged in to access this title.

Sign up now

Already a member? Log in

Synopsis

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.

Book details

Edition:
1997
Series:
Lecture Notes in Mathematics (Book 1668)
Author:
Daniel B. Dix
ISBN:
9783540695455
Related ISBNs:
9783540634348
Publisher:
Springer Berlin Heidelberg
Pages:
N/A
Reading age:
Not specified
Includes images:
No
Date of addition:
2022-08-06
Usage restrictions:
Copyright
Copyright date:
1997
Copyright by:
N/A 
Adult content:
No
Language:
English
Categories:
Mathematics and Statistics, Nonfiction