This monograph deals with recent advances in the study of the long-time asymptotics of large solutions to critical nonlinear dispersive equations. The first part of the monograph describes, in the context of the energy critical wave equation, the "concentration-compactness/rigidity theorem method" i
Lectures on Nonlinear Wave Equations
β Scribed by Christopher D. Sogge
- Publisher
- Intl Pr
- Year
- 2005
- Tongue
- English
- Leaves
- 162
- Series
- Monographs in Analysis
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
π SIMILAR VOLUMES
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
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
This up-to-date reference text examines the mathematical aspects of nonlinear wave propagation;emphasizing nonlinear hyperbolic problems;and introduces the most effective tools for the study of perturbation methods and for exploring global existence, singularity formation, and large-time behavior of