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Large-Time Behavior of Solutions of Linear Dispersive Equations 1997 Edition at Meripustak

Large-Time Behavior of Solutions of Linear Dispersive Equations 1997 Edition

Books from same Author: Daniel B. Dix

Books from same Publisher: Springer

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    • General Information  
    Author(s)Daniel B. Dix
    PublisherSpringer
    ISBN9783540634348
    Pages203
    BindingPaperback
    LanguageEnglish
    Publish YearNovember 1997

    Description

    Springer Large-Time Behavior of Solutions of Linear Dispersive Equations 1997 Edition by 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.