Large-Time Behavior of Solutions of Linear Dispersive Equations

• Main Author: Dix, Daniel B. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.
• Edition: 1st ed. 1997.
• Series: Lecture Notes in Mathematics, 1668
• Subjects: Partial differential equations.; Mathematical analysis.; Analysis (Mathematics).; Fourier analysis.; Partial Differential Equations.; Analysis.; Fourier Analysis.

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 estim...

Table of Contents:

• Laplace expansions, outer regions
• Expansion in the inner region, Matching
• Uniformly Valid Expansions for large time
• Special Results for Special Cases
• Applications: Self-similar asymptotic approximations; Sharp Ls decay estimates, Smoothing Effects; Asymptotic balance for large time; Asymptotic behavior for large x
• Reference
• Subject Index.