Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	赵清梅，四川大学
Inviter:
Title:	Carleman estimates for some stochastic partial differential equations and applications
Language:	Chinese
Time & Venue:	2022.12.04 14:00-14:40 腾讯会议：585-692-702
Abstract:	This talk is concerned with the controllability, observability and inverse problems for two types of stochastic partial differential equations, which are degenerate/singular stochastic parabolic equations with a complex principal part and stochastic plate equations with structural damping. The main tool we used is to establish the Carleman estimates for the stochastic partial differential operators. It is well known that Carleman estimate is one of the main tools to study the control problems and inverse problems of deterministic and stochastic partial differential equations. However, some substantially difficulties arise in the study of the Carleman estimate for stochastic partial differential equations compared to the deterministic case. Firstly, there are some additional random terms that need to be estimated in the pointwise identity for the stochastic systems. Secondly, the Carleman estimates for forward and backward stochastic equations are fundamentally different, which is determined by the properties of the backward systems. https://meeting.tencent.com/dm/eo2N0gxNNOyP