Introduction to nonlinear dispersive equations /
xiv, 301 p. ; 24 cm. - (Universitext ) Content notes : 1. The Fourier Transform.-
2. Interpolation of Operators.-
3. An Introduction to 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.-
Appendix A Proof of Theorem 2.8.-
Appendix B Proof of Lemma 4.2.-
References.-
Index.