Introduction to Nonlinear Dispersive Equations

• Κύριοι συγγραφείς: Ponce, Gustavo (Συγγραφέας), Linares, Felipe (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2009.
• Σειρά: Universitext
• Θέματα: Mathematics.; Partial differential equations.; Partial Differential 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...

Πίνακας περιεχομένων:

• 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.