Asymptotic decay for several defocusing nonlinear wave equations
数学专题报告
报告题目(Title)：Asymptotic decay for several defocusing nonlinear wave equations
报告人(Speaker)：杨诗武（北京大学）
地点(Place)：北京师范大学后主楼1328
时间(Time)：2024年6月19日（周三）下午4:00-5:00
邀请人(Inviter)：徐桂香
报告摘要
In this talk, I will report recent progress on global behaviors for solutions of energy subcritical defocusing semilinear wave equations with pure power nonlinearity. We prove various type of decay estimates for the solutions in Minkowski space for all space dimensions. In particular we solve a conjecture of Lindblad and Tao in dimension one. We also extend similar results to the Schwarzschild black hole spacetimes and to the Chern-Simons-Higgs equations in planar physics. These are based on joint works with H. Mei and D. Wei.
主讲人简介
杨诗武，北京大学北京国际数学研究中心副教授，2013年博士毕业于普林斯顿大学，研究方向是双曲偏微分方程和数学广义相对论。2020年获阿里巴巴达摩院青橙奖。
