Article ID Journal Published Year Pages File Type
4589771 Journal of Functional Analysis 2015 23 Pages PDF
Abstract

In this note, we consider the constant-mean-curvature wave equation in (1+2)(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.

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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Absence of self-similar blow-up and local well-posedness for the constant mean-curvature wave equation
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