Convergence Rates of Tikhonov Regularizations for Elliptic and Parabolic Inverse Radiativity Problems-东北师范大学数学与统计学院

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Convergence Rates of Tikhonov Regularizations for Elliptic and Parabolic Inverse Radiativity Problems

时间：2020年06月04日 10:54 点击数：

报告人：蒋代军

报告地点：腾讯会议

报告时间：2020年06月05日星期五15:15-16:15

邀请人：刁怀安

报告摘要：

We shall study in this paper the convergence rates of the Tikhonov regularized solutions for the recovery of the radiativities in elliptic and parabolic systems in general

dimensional spaces. The conditional stability estimates are first derived. Due to the diffi-

culty of the verification of the existing source conditions or nonlinearity conditions of the inverse radiativity problems in high dimensional spaces, some new variational source conditions are proposed. The conditions are rigorously verified in general dimensional spaces under the conditional stability estimates. We will also derive the reasonable convergence rates under the new source conditions, and the results reveal the explicit relation between the regularity of the radiativities and the convergence rates.

会议网址：https://meeting.tencent.com/s/t5nHElvj56uh

会议ID：514 303 267

会议密码：202006

主讲人简介：

蒋代军，华中师范大学数学与统计学学院副教授。博士毕业于武汉大学（导师：邹军教授）。主要从事反问题的研究工作，特别是偏微分方程中参数识别问题的理论分析和快速算法的设计与收敛性分析的研究工作。在SIAM Journal on Applied Mathematics，ESAIM: Mathematical Modelling and Numerical Analysis，Inverse Problems，Journal of Differential Equations，Inverse Problems and Imaging等国际著名期刊发表论文近二十篇。目前主持一项国家自然科学基金面上项目。