中科院数学与系统科学研究院
数学研究所
调和分析及其应用研究中心
学术报告
调和分析和偏微分方程研讨班
报告人：袁旭（香港中文大学）
题 目：Conditional stability of multi-solitons for the 1D nonlinear Klein-Gordon equations
时 间：2024.03.07（星期四）16:00-17:00
地 点：思源楼S813
摘 要：In this talk, we will discuss the conditional stability of the (asymptotic) multi-solitons for the 1D NLKG equation. Since the multi-solitons play distinguished roles in the soliton resolution conjecture, as well as in other dynamical questions in general, it is obviously important to know the behavior of solutions in some neighborhoods of them. Such stability results are closely related to the existence of multi-solitons, established in the case of the NLKG equation by Côte-Muñoz. The proof follows the general strategy of Martel-Mertel-Tsai that established similar stability results for the gKdV and NLS equations, using virial-type monotonicity.
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