Year: 2024
Type: article
Abstract: The work is devoted to investigating the solvability in Sobolev spaces of nonlinear inverse problems of determination, along with the solution u ( x, t ) of a parabolic equation, the unknown coefficient dependent on time. The studied problems are unique since the original parabolic equation is degenerate. As the integral overdetermination conditions, we use domain-wide integral overdetermination conditions or integral boundary overdetermination conditions. The existence and uniqueness theorems are proved for regular solutions, i.e. the solutions having all generalized derivatives included in the corresponding equation.
Authors: A. I. Kozhanov, G. R. Ashurova
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7163142979