Lectures on the Energy Critical Nonlinear Wave Equation Paperback / softback
by Carlos E. Kenig
Part of the CBMS Regional Conference Series in Mathematics series
Paperback / softback
Description
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.
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:161 pages
- Publisher:American Mathematical Society
- Publication Date:30/05/2015
- Category:
- ISBN:9781470420147
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:161 pages
- Publisher:American Mathematical Society
- Publication Date:30/05/2015
- Category:
- ISBN:9781470420147
