Inverse problem for a two-dimensional strongly degenerate heat equation
Texas State University, Department of Mathematics
This article concerns the existence and uniqueness of solutions in the problem of identifying the leading coefficient in a two-dimensional heat equation. We suppose that unknown coefficient depends on the time variable and the equation is strongly degenerate. Applying Schauder fixed-point theorem, we find conditions for existence of a classical solution.
Inverse problem, Strongly degenerate heat equation, Green function, Classical solution
Ivanchov, M., & Vlasov, V. (2018). Inverse problem for a two-dimensional strongly degenerate heat equation. <i>Electronic Journal of Differential Equations, 2018</i>(77), pp. 1-17.