报告人：窦芳芳 教授（电子科技大学）

题目：Determination the Solution of a Stochastic Parabolic Equation by the Terminal Value

会议时间：2022/06/30 10:00-12:00 (GMT+08:00)中国标准时间-北京

https://meeting.tencent.com/dm/Xip79zNTv79o

#腾讯会议：501-196-662

摘要：

This talk studies the inverse problem of determination the history for a stochastic diffusion process, by means of the value at the final time T. By establishing a new Carleman estimate, the conditional stability of the problem is proven. Based on the idea of Tikhonov method, a regularized solution is proposed. The analysis of the existence and uniqueness of the regularized solution, and proof for error estimate under an a-proior assumption are present. Numerical verification of the regularization, including numerical algorithm and examples are also illustrated.

报告人简介：

窦芳芳，电子科技大学教授，主要从事数学物理反问题的稳定性及数值算法研究。2009年在兰州大学取得博士学位，2013-2014年美国华盛顿大学访问学者。在SIAM J. Control Optim., Inverse Problems等国际权威期刊发表学术论文20余篇，主持和完成四川省杰出青年科技人才项目，以及3项国家自然科学基金。