Sharp Late-time Asymptotics for Scalar Quasilinear Wave Equations satisfying the Weak Null Condition
发布时间：2025年06月26日
浏览次数：7
发布者: He Liu
主讲人： Dongxiao Yu (Vanderbilt University)
活动时间： 从 2025-07-03 14:00 到 15:00
场地： 北京国际数学研究中心，全斋全9教室
We study the sharp late-time asymptotics for a class of quasilinear wave equations satisfying the weak null condition in three space dimensions. We prove that the asymptotics are very different from those for the equations satisfying the classical null condition. In particular, at leading order, the solution displays a continuous superposition of decay rates. Moreover, we show that any solution that decays faster than expected in a compact spatial region must vanish identically. The talk is based on joint work in progress with Jonathan Luk and Sung-Jin Oh.
