Articles liés à Lectures on the Energy Critical Nonlinear Wave Equation

Lectures on the Energy Critical Nonlinear Wave Equation - Couverture souple

Kenig, Carlos E.

 
9781470420147: Lectures on the Energy Critical Nonlinear Wave Equation
Couverture souple
ISBN 10 : 1470420147 ISBN 13 : 9781470420147
Editeur : American Mathematical Society, 2015

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Carlos E. Kenig, University of Chicago, IL, USA.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2015
Langue
anglais
ISBN 10 
1470420147
ISBN 13 
9781470420147
Reliure
Broché
Nombre de pages
161
Coordonnées du fabricant
non disponible
Personne responsable
non disponible