Introduction to Nonlinear Dispersive Equations


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Description

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.

Author: Felipe Linares, Gustavo Ponce
Publisher: Springer
Published: 12/15/2014
Pages: 301
Binding Type: Paperback
Weight: 0.98lbs
Size: 9.21h x 6.14w x 0.66d
ISBN13: 9781493921805
ISBN10: 1493921800
BISAC Categories:
- Mathematics | Differential Equations | General
- Science | Waves & Wave Mechanics

About the Author

Felipe Linares is a Researcher at the Instituto Nacional de Matemática Pura e Aplicada (IMPA) in Rio de Janeiro, Brazil.

Gustavo Ponce is a Professor of Mathematics at the University of California in Santa Barbara.

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