Introduction to Nonlinear Dispersive Equations

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This textbook introduces the well-posedness theory for initial-value problems of nonlinear, dispersive partial differential equations, with special focus on two key models, the Korteweg-de Vries equation and the nonlinear Schrödinger equation. A concise and self-contained treatment of background ma...

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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, 2015.
Edición:2nd ed. 2015.
Colección:Universitext,
Temas:
Differential equations.
Differential Equations.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1. The Fourier Transform
  • 2. Interpolation of Operators
  • 3. Sobolev Spaces and Pseudo-Differential Operators
  • 4. The Linear Schrodinger Equation
  • 5. The Non-Linear Schrodinger Equation
  • 6. Asymptotic Behavior for NLS Equation
  • 7. Korteweg-de Vries Equation
  • 8. Asymptotic Behavior for k-gKdV Equations
  • 9. Other Nonlinear Dispersive Models
  • 10. General Quasilinear Schrodinger Equation
  • Proof of Theorem 2.8
  • Proof of Lemma 4.2
  • References
  • Index.

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