Special Session 129: Inverse problems for nonlocal / nonlinear PDEs

Inverse problems for nonlinear parabolic equations in domains with moving boundaries

Madi Yergaliyev
Institute of Mathematics and Mathematical Modeling
Kazakhstan
Co-Author(s):    Muvasharkhan Jenaliyev, Medina Kassen
Abstract:
We will explore inverse problems for nonlinear parabolic equations in degenerate domains and domains with moving boundaries. It is important to note that a significant characteristic of such inverse problems is that they are studied in degenerate domains, which, in turn, leads to additional solvability conditions. For example, for one inverse problem, the conditions for unique solvability are derived as a connection between a known multiplier on the right-hand side of the equation and the functions governing the changes in the boundaries of the nonlinearly degenerate domain.