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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Large-Time Behavior of Solutions of Linear Dispersive Equations

Large-Time Behavior of Solutions of Linear Dispersive Equations

Dix, Daniel B.

Paperback

Series: Lecture Notes in Mathematics, Book 1668

General Mathematics

ISBN10: 3540634347
ISBN13: 9783540634348
Publisher: Springer Nature
Published: Sep 18 1997
Pages: 203
Weight: 0.72
Height: 0.48 Width: 6.14 Depth: 9.21
Language: English
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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