Wave equations associated to Liouville systems and constant mean curvature equations
Analysis of PDEs
2011-05-24 v1 Classical Analysis and ODEs
Differential Geometry
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.
Keywords
Cite
@article{arxiv.1105.4295,
title = {Wave equations associated to Liouville systems and constant mean curvature equations},
author = {Sagun Chanillo and Po-Lam Yung},
journal= {arXiv preprint arXiv:1105.4295},
year = {2011}
}