Absence of self-similar blow-up and local well-posedness for the constant mean-curvature wave equation
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AbstractIn this note, we consider the constant-mean-curvature wave equation in (1+2)-dimensions. We show that it does not admit any self-similar blow-up. We also remark that the equation is locally well-posed for initial data in H-3/2. (C) 2015 Elsevier Inc. All rights reserved.
All Author(s) ListChanillo S, Yung PL
Journal nameJournal of Functional Analysis
Volume Number269
Issue Number4
Pages1180 - 1202
LanguagesEnglish-United Kingdom
KeywordsLocal well-posedness; Self-similar blow-up; Wave constant mean curvature equation
Web of Science Subject CategoriesMathematics

Last updated on 2021-26-01 at 23:50