Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	张森,东北师范大学
Inviter:
Title:	Carleman estimates for two kinds of stochastic fourth-order systems with applications
Language:	Chinese
Time & Venue:	2023.06.19 19:00-19:30 腾讯会议ID：594-582-313
Abstract:	In this talk, we will first introduce the origination and application of the Carleman estimate. Then, the Carleman estimate method is used to study the related problems of two kinds of high-dimensional stochastic fourth order systems, which are the simultaneous inversion problem of the initial value and the random source term of the stochastic plate equation and the unique continuation problem of the stochastic fourth order parabolic equation. Next, by establishing the global Carleman estimate, the uniqueness of the initial value and source term inversion of the stochastic plate equation and the unique boundary continuation of the stochastic fourth order parabolic equation can be obtained. Finally, the obtained conclusions have been compared with the related problems of deterministic equations.