Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	袁旭，香港中文大学
Inviter:	范晨捷
Title:	Conditional stability of multi-solitons for the 1D nonlinear Klein-Gordon equations
Language:	Chinese
Time & Venue:	2024.03.07 16:00-17:00 思源楼S813
Abstract:	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 C?te-Mu?oz. 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.