Introduction to Nonlinear Dispersive Equations

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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Linares, Felipe (Autor), Ponce, Gustavo (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2009.
Edición:1st ed. 2009.
Colección:Universitext,
Temas:
Differential equations.
Differential Equations.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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