Introduction to nonlinear dispersive equations

The aim of this textbook is to introduce the theory of nonlinear dispersive equations to graduate students in a constructive way. The first three chapters are dedicated to preliminary material, such as Fourier transform, interpolation theory and Sobolev spaces. The authors then proceed to use the li...

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Detalhes bibliográficos
Auteurs principaux: Ponce, Gustavo, 1952-, Linares, Felipe, 19..-...., mathématicien (Auteur)
Formato: Livre numérique
Idioma:Anglais
Publicado em: New York, NY : Springer New York : Springer e-books [20..].
Cham : Springer Nature
Colecção:Universitext
Assuntos:
Acesso em linha:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Nota: Description d'après consultation du 20 octobre 2011
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Introduction to nonlinear dispersive equations, Felipe Linares, Gustavo Ponce, 2009, New York, Springer, 1 vol. (XI-256 p.), Universitext, 978-0-387-84898-3
Sumário:
  • The Fourier Transform Interpolation of Operators. A Multiplier Theorem Sobolev Spaces and Pseudo-Differential Operators The Linear Schrodinger Equation The Nonlinear Schrodinger Equation. Local Theory Asymptotic Behavior for NLS Equation Korteweg-de Vries Equation Asymptotic Behavior for k-gKdV Equations Other Nonlinear Dispersive Models General Quasilinear Schrodinger Equation