Generically Sharp Decay for Quasilinear Wave Equations with the Null Condition -

Generically Sharp Decay for Quasilinear Wave Equations with the Null Condition

Time: 2023-10-11 Published By: He Liu

Speaker(s): Siyuan Ma(Chinese Academy of Science)

Time: 16:00-17:00 October 16, 2023

Venue: Room 29, Quan Zhai, BICMR

I will illustrate the precise pointwise asymptotic behavior of the global solutions to the three-dimensional quasilinear wave equations with the null condition for small, smooth initial data posed on a hyperboloid, and show that the decay rate $v^{-1}u^{-1}$ is optimal for a generic set of initial data. This is joint work with Shijie Dong, Yue Ma, and Xu Yuan.