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arXiv · 1501.02296

Absence of Self-Similar Blow-up and Local Well-posedness for the Constant Mean-Curvature Wave Equation

Sagun Chanillo·Po-Lam Yung
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Abstract

In 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 $\dot{H}^{3/2}$.

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Sagun Chanillo, Po-Lam Yung. 2015-01-10. Absence of Self-Similar Blow-up and Local Well-posedness for the Constant Mean-Curvature Wave Equation. https://arxiv.org/abs/1501.02296

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