应孙亮亮老师邀请，华中师范大学蒋代军教授将为课题组作线上学术报告。
报告题目：Convergence Rates of Tikhonov Regularizations for Elliptic and Parabolic Inverse Radiativity Problems
报告摘要：In this talk, we shall study 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 difficulty 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.
报告时间：2025年12月12日10:00
报告地点：腾讯会议（816 887 774）
邀 请 人：孙亮亮 云亭教授
届时欢迎广大师生参与交流！
报告人简介：
蒋代军，华中师范大学教授，博士生导师。2007年获得华中师范大学学士学位，2009年和2012年分别获得武汉大学硕士和博士学位，多次访问香港中文大学、东京大学等高校和研究院。蒋代军博士的研究领域包括偏微分方程反问题、稀疏优化及控制，快速算法等，主持国家自然科学基金项目4项，在SIAM系列, Inverse Problems等刊物上发表论文30余篇。
英国365公司
甘肃省数学与统计学基础学科研究中心
2025年12月9日
