Special Session 129: Inverse problems for nonlocal / nonlinear PDEs

Inverse problems for parabolic and pseudo-parabolic equations with p-Laplacian diffusion and damping
Khonatbek Khompysh
Institute of Mathematics and Mathematical Modeling
Kazakhstan
Co-Author(s):    Kenzhebai Kh.
Abstract:
In this talk, we discuss on uniquely solvability of inverse problems for parabolic and pseudo-parabolic equations perturbed by p-Laplacian diffusion and damping. Inverse problems consist of recovering a time dependent source/potential under the measurement in the integral form over the space domain. Under the suitable assumptions on the data, we establish existence and uniqueness of weak solutions posed inverse problems. This work supported by the grants no AP19676624 and AP23486218 Ministry of Science and Higher Education of the Republic of Kazakhstan (Kazakhstan)