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Large-Time Behavior of Solutions of Linear Dispersive Equations

Large-Time Behavior of Solutions of Linear Dispersive Equations

von Daniel B. Dix
Softcover - 9783540634348
53,49 €
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Beschreibung

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.

Details

Verlag Springer Berlin
Ersterscheinung 18. September 1997
Maße 23.5 cm x 15.5 cm
Gewicht 353 Gramm
Format Softcover
ISBN-13 9783540634348
Seiten 203

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