Large-time behavior of solutions of linear dispersive equations

Author(s)

• Dix, Daniel Beach

Bibliographic Information

Large-time behavior of solutions of linear dispersive equations

Daniel B. Dix

（Lecture notes in mathematics, 1668）

Springer, c1997

Note

Includes bibliographical references (p. [194]-197) and subject index

Description and Table of Contents

Description

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.

Table of Contents

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

by "Nielsen BookData"

Details

• NCID: BA32516834
• ISBN:
  • 3540634347
• LCCN: 97029078
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin ; New York
• Pages/Volumes: xiv, 203 p.
• Size: 24 cm
• Classification:
  • LCC : QA3
  • LCC : QA347
  • DC21 : 510 s
  • DC21 : 515/.353
  • NDC8 : 413.63
• Subject Headings:
  • LCSH : Differential equations, Linear -- Asymptotic theory
  • LCSH : Asymptotic expansions
  • LCSH : Initial value problems
• Parent Bibliography ID:
  • BA00146586