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arXiv · 1105.4295

Wave equations associated to Liouville systems and constant mean curvature equations

Sagun Chanillo·Po-Lam Yung
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Abstract

We study the wave analog of the Liouville equation and the constant mean curvature equations in 2 space dimensions, which are energy critical. We exhibit a blow-up criteria for the former using tools from conformal geometry, and we exhibit finite time blow-up for the latter under suitable assumptions on the initial data.

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Sagun Chanillo, Po-Lam Yung. 2011-05-21. Wave equations associated to Liouville systems and constant mean curvature equations. https://arxiv.org/abs/1105.4295

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