Large-time behavior of solutions of linear dispersive equations

Daniel B. Dix

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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[目次]

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

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この本の情報

書名 Large-time behavior of solutions of linear dispersive equations
著作者等 Dix, Daniel Beach
Dix D.B.
シリーズ名 Lecture notes in mathematics
出版元 Springer
刊行年月 c1997
ページ数 xiv, 203 p.
大きさ 24 cm
ISBN 3540634347
NCID BA32516834
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言語 英語
出版国 ドイツ
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