Inverse problem for a two-dimensional strongly degenerate heat equation
Date
2018-03-20
Authors
Ivanchov, Mykola
Vlasov, Vitaliy
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Inverse problem, Strongly degenerate heat equation, Green function, Classical solution
Citation
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.
Rights
Attribution 4.0 International