Concentration-compactness and universal profiles for the non-radial energy critical wave equation. (June 2016)

• Record Type: Journal Article
• Authors: Duyckaerts, Thomas; Kenig, Carlos; Merle, Frank
• Is Part Of: Nonlinear analysis. Volume 138(2016)
• Page Start: 44
• Page End: 82
• Publication Date: 2016-06
• Subjects: Profile decomposition -- Compact solutions -- Rigidity theorems -- Universal profiles; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2015.12.027
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we give an overview of the authors' work on applications of the method of concentration-compactness to global well-posedness, scattering, blow-up and universal profiles for the energy critical wave equation in the non-radial setting. New results and proofs are also given.