de Sitter-Schwarzschild空间上wave equation解的渐近性
Asymptotics of solutions of the wave equation on de Sitter-Schwarzschild space
摘要:
在柯西曲面上具有光滑初始数据的de Sitter-Schwarzschild空间上的波动方程的解在时间无穷远处指数衰减为常数,在适当的紧化空间上具有相应的一致衰减。
英文摘要:
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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