报告人: Gulaiym Oralsyn （阿拉木图 数学和数学模型研究所）
报告时间: 2024年7月26日下午4:00-6:00
报告地点：章辉楼442
联系人：王保祥教授
欢迎广大师生参加！
报告摘要: This is a joint work with Prof. Durvudkhan Suragan. In this talk, we discuss inverse problems related to determining the time-dependent coefficient and unknown source function of fractional heat equations. Our approach shows that having just one set of data at an observation point ensures the existence of a weak solution for the inverse problem. Furthermore, if there is an additional datum at the observation point, it leads to a specific formula for the time-dependent source coefficient. Moreover, we investigate inverse problems involving non-local data and recovering the space-dependent source function of the fractional heat equation. We also discuss extensions of these results to time and space fractional heat equations. The talk is based on our recent results from [1]-[3].
[1] I. Ismailov, T. Ozawa and D. Suragan, Inverse problems of identifying the time-dependent source coefficient for subelliptic heat equations, Inverse Problems and Imaging, 1(2023), 1--11.
[2] A. Mamanazarov and D. Suragan, Inverse coefficient problems for the heat equation with fractional Laplacian, preprint, (2024), 1--25.
[3] G. Oralsyn, On an Inverse Time-Dependent Control Function Problem for the Time-Fractional Diffusion Equation; M. Chatzakou et al. (eds.), Women in Analysis and PDE, Research Perspectives Ghent Analysis and PDE Center 5, Springer, 2024.
https://doi.org/10.1007/978-3-031-57005-6_30
报告人简介：Gulaiym Oralsyn是阿拉木图数学和数学模型研究所的研究成员，从事热方程、热算子相关领域研究，在Complex Analysis and Operator Theory、International Journal of Pure and Applied Mathematics、Journal of Pseudo-differential Operators And Applications等期刊发表多篇文章。
