Large-time Behavior of Solutions of Linear Dispersive Equations

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 estim...

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Detalles Bibliográficos
Autor Principal: Dix, Daniel Beach, 1959-...., mathématicien
Formato: Livre numérique
Idioma:Anglais
Publicado: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Series:Lecture notes in mathematics 1668
Sujets:
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Nota: Archives Springer e-books (Licence nationale)
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Large-time behavior of solutions of linear dispersive equations, Daniel B. Dix, 1997, Berlin, Springer, 1 vol. (XIV-203 p.), Lecture notes in mathematics, 3-540-63434-7
• Large-Time Behavior of Solutions of Linear Dispersive Equations, Texte imprimé, 9783662201893
Table des matières:
  • Laplace expansions, outer regions
  • Expansion in the inner region, Matching
  • Uniformly Valid Expansions for large time
  • Special Results for Special Cases
  • Applications: Self-similar asymptotic approximations; Sharp Ls decay estimates, Smoothing Effects; Asymptotic balance for large time; Asymptotic behavior for large x
  • Reference
  • Subject Index.