Lectures on the Energy Critical Nonlinear Wave Equation is popular PDF and ePub book, written by Carlos E. Kenig in 2015-04-14, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Lectures on the Energy Critical Nonlinear Wave Equation can be Read Online from any device for your convenience.
Lectures on the Energy Critical Nonlinear Wave Equation Book PDF Summary
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" introduced by C. Kenig and F. Merle. This approach has become the canonical method for the study of the "global regularity and well-posedness" conjecture (defocusing case) and the "ground-state" conjecture (focusing case) in critical dispersive problems. The second part of the monograph describes the "channel of energy" method, introduced by T. Duyckaerts, C. Kenig, and F. Merle, to study soliton resolution for nonlinear wave equations. This culminates in a presentation of the proof of the soliton resolution conjecture, for the three-dimensional radial focusing energy critical wave equation. It is the intent that the results described in this book will be a model for what to strive for in the study of other nonlinear dispersive equations. A co-publication of the AMS and CBMS.
Detail Book of Lectures on the Energy Critical Nonlinear Wave Equation PDF
- Author : Carlos E. Kenig
- Release : 14 April 2015
- Publisher : American Mathematical Soc.
- ISBN : 9781470420147
- Genre : Mathematics
- Total Page : 177 pages
- Language : English
- PDF File Size : 9,7 Mb
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