Inverse problem for a two-dimensional strongly degenerate heat equation
M. I. Ivanchov
Ivan Franko National Univ. of Lviv, Ukraine
Vitaliy Vlasov
Ivan Franko National Univ. of Lviv, Ukraine
2018en
ABI
Abstract
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.
Citations and references
Cited by 70 references