Introduction to nonlinear dispersive equations
By: Felipe Linares, Gustavo Ponce
Contributors: Ponce, Gustavo
Series: Universitext
Publisher: Springer
Published: 2009
Place of publication: New York
Language: eng
Number of pages: 256
ISBN-13: 9780387848983; 9780387848990
Subjects: Korteweg-de Vries, Équation de; Wellengleichung; Nichtlineare partielle Differentialgleichung; Équations différentielles non linéaires; Nonlinear wave equations; Schrödinger, Équation de; Équations d'onde non linéaires; Partial Differential equations; Dispersion (Mathématiques)
Notes: Includes bibliographical references (p. 239-253) and index.
Table of contents: title: 1. The Fourier transform; title: 2. Interpolation of operators: a multiplier theorem; title: 3. Sobolev spaces and pseudo-differential operators; title: 4. The linear Schrodinger equation; title: 5. The nonlinear Schrodinger equation: local theory; title: 6. Asymptotic behavior for NLS equation; title: 7. Korteweg-de Vries equation; title: 8. Asymptotic behavior for k-gKdV equations; title: 9. Other nonlinear dispersive models; title: 10. General quasilinear Schrodinger equation.