Solvability of nonlocal inverse boundary-value problem for a second-order parabolic equation with integral conditions
Date
2017-05-08
Authors
Azizbayov, Elvin
Mehraliyev, Yashar
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This article studies a nonlocal inverse boundary-value problem for a second-order parabolic equation on the rectangular domain. First, we introduce a definition of a classical solution, and then the original problem is reduced to an equivalent problem. Existence and uniqueness of the solution of the equivalent problem is proved using a contraction mapping. Finally, using the equivalency, the existence and uniqueness of classical solution is obtained.
Description
Keywords
Second order parabolic equation, Finite domain, Nonlocal integral conditions, Inverse value problem, Classical solution
Citation
Azizbayov, E., & Mehraliyev, Y. (2017). Solvability of nonlocal inverse boundary-value problem for a second-order parabolic equation with integral conditions. <i>Electronic Journal of Differential Equations, 2017</i>(125), pp. 1-14.
Rights
Attribution 4.0 International