走向现代数学学术报告 - 王成波教授（No. 632）

报告题目：Blow-up for semilinear wave equations on Kerr black hole backgrounds

报告人：王成波教授（浙江大学）

时间：2023年6月20日 15:00

腾讯会议ID：137-763-493

摘要：In this talk, we will examine solutions to semilinear wave equations on black hole backgrounds and give a proof of an analog of the blow up part of the John theorem, with $F_p(u)=|u|^{p}$, on the Schwarzschild and Kerr black hole backgrounds. Our approach is also robust enough to be adapted for general asymptotically flat space-time manifolds, possibly exterior to a compact domain, with spatial dimension $n\ge 2$. Typical examples include exterior domains, asymptotically Euclidean spaces, Reissner-Nordstrom space-times, and Kerr-Newman space-times. It is a joint work with Mengyun Liu.

报告人简介：王成波，浙江大学数学科学学院教授、博士生导师。研究方向为调和分析与偏微分方程。入选中组部第二批青年拔尖人才支持计划，曾主持浙江省杰青等项目，现主持国家自然科学基金面上项目。相关研究成果发表在JEMS, Math. Ann., Math. Z., JFA，TAMS等著名国际数学杂志。