学术报告（梅河 9.5）
Asymptotic decay for defocusing semilinear wave equations on Schwarzschild spacetimes
发布人：杨晓静
发布日期：2023-08-31
主题
Asymptotic decay for defocusing semilinear wave equations on Schwarzschild spacetimes
活动时间
-
活动地址
数学楼 519
主讲人
梅河 博士后 北京大学
主持人
黎俊彬
In this paper, we study the long time dynamics of solutions to the defocusing semilinear wave equation on the Schwarzschild black hole spacetimes. For sufficiently smooth and localized initial data, we show that the solution decays in the domain of outer
communication. The proof relies on the r-weighted vector field method of Dafermos-Rodnianski together with the Strichartz estimates for linear waves by Marzuola-Metcalfe-Tataru-Tohaneanu.
