中科院数学与系统科学研究院
数学研究所
数学物理研讨班
报告人： 杨诗武 教授（北京大学国际数学研究中心）
题 目：Asymptotic decay for semilinear wave equation
时 间：2020.10.22（星期四），10:00-11:00
地 点：腾讯会议 317 448 767
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 that in space dimension 1 and 2, the solution decays in time with an inverse polynomial rate, hence giving an affirmative answer to a conjecture raised by Lindblad and Tao. In higher dimension, we obtain improved scattering results for the solutions. These results are based on vector field method with new multipliers. Part of these works are jointed with Dongyi Wei.
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