Lectures on Nonlinear Dispersive Equations
β Scribed by Ozawa T., Tsutsumi Y. (eds.)
- Year
- 2004
- Tongue
- English
- Leaves
- 146
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
This volume, together with the next, is intended as the proceedings of expository lectures in Special Months "Nonlinear Dispersive Equations". Nonlinear dispersive equations, such as nonlinear Schrodinger equations, KdV equation, and Benjamin-Ono equation, are of mathematical and physical importance. Expository courses in August 2004 are intended to cover a broad spectrum of the issues, from mathematical and physical backgrounds to the latest developments.
π SIMILAR VOLUMES
This book provides a self-contained presentation of classical and new methods for studying wave phenomena that are related to the existence and stability of solitary and periodic travelling wave solutions for nonlinear dispersive evolution equations. Simplicity, concrete examples, and applications a
This work presents three types of problems in the theory of nonlinear wave equations that have varying degrees of non-trivial overlap with harmonic analysis. The author discusses results including existence for certain quasilinear wave equations and for semilinear wave equations.
In this introductory textbook, a revised and extended version of well-known lectures by L. Hrmander from 1986, four chapters are devoted to weak solutions of systems of conservation laws. Apart from that the book only studies classical solutions. Two chapters concern the existence of global solution
In this introductory textbook, a revised and extended version of well-known lectures by L. Hrmander from 1986, four chapters are devoted to weak solutions of systems of conservation laws. Apart from that the book only studies classical solutions. Two chapters concern the existence of global solution
<P>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