期刊
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
卷 39, 期 3, 页码 512-529出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/03605302.2013.866958
关键词
Asymptotically hyperbolic spaces; Compactification; De Sitter-Schwarzschild space; Exponential decay; Waves; 35L05; 35P25; 83C57; 83C30
资金
- National Science Foundation [DMS-0408993, DMS-0500788, DMS-0201092, DMS-0801226]
Solutions to the wave equation on de Sitter-Schwarzschild space with smooth initial data on a Cauchy surface are shown to decay exponentially to a constant at temporal infinity, with corresponding uniform decay on the appropriately compactified space.
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