Lifespan of smooth solutions for timelike extremal surface equation in de Sitter spacetime
Analysis of PDEs
2013-11-15 v1
Abstract
In this paper, we study the generalized timelike extremal surface equation in the de Sitter spacetime, which plays an important role in both mathematics and physics. Under the assumption of small initial data with compact support, we investigate the lower bound of lifespan of smooth solutions by weighted energy estimates.
Keywords
Cite
@article{arxiv.1311.3459,
title = {Lifespan of smooth solutions for timelike extremal surface equation in de Sitter spacetime},
author = {De-Xing Kong and Chang-Hua Wei},
journal= {arXiv preprint arXiv:1311.3459},
year = {2013}
}
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34pages