Concentration-compactness and universal profiles for the non-radial energy critical wave equation

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• 作者：Thomas Duyckaerts^a ; Carlos Kenig^b ; ^{cek@math.uchicago.edu" class="auth_mail" title="E-mail the corresponding author} ; Frank Merle^c
• 关键词：Profile decomposition ; Compact solutions ; Rigidity theorems ; Universal profiles
• 刊名：Nonlinear Analysis
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：138
• 期：Complete
• 页码：44-82
• 全文大小：822 K

文摘

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.