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arXiv · 1311.3459

Lifespan of smooth solutions for timelike extremal surface equation in de Sitter spacetime

De-Xing Kong·Chang-Hua Wei
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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.

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De-Xing Kong, Chang-Hua Wei. 2013-11-14. Lifespan of smooth solutions for timelike extremal surface equation in de Sitter spacetime. https://arxiv.org/abs/1311.3459

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