Inverse source problems for nonlinear pseudo-parabolic equations: existence and uniqueness

报告题目：Inverse source problems for nonlinear pseudo-parabolic equations: existence and uniqueness

报告时间：2023年10月20日下午15:00-16:00

报告地点：红瓦楼726

报告人：Khompysh Khonatbek 副教授（哈萨克斯坦国立大学）

报告摘要：In this talk, some inverse problems for nonlinear pseudoparabolic equations perturbed by p-Laplacian and nonlinear damping term will be discussed. Pseudoparabolic equations or also so called Sobelev type equations have many applications, they use in the mathematical modeling of various phenomena such as thermodynamics processes, filtration in porous media, the motion of non-Newtonian fluids, and  et al. The studying inverse problems consists of recovering a coefficient of right-hand side, which depends on time variable. Under suitable assumptions on the data, the global and local in time existence and uniqueness of weak generalized solutions are established. These results also will be obtained for the inverse problems for nonlinear pseudoparabolic equations with time fractional derivatives.

报告人简介：哈萨克斯坦国立大学数学系副教授、前主任。

报告邀请人：江渝 教授