Elvin Azizbayov, Yashar Mehraliyev
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.
Submitted February 17, 2017. Published May 8, 2017.
Math Subject Classifications: 35R30, 35K10, 35A09, 35A02.
Key Words: Second order parabolic equation; finite domain;
nonlocal integral condition; inverse value problem;
classical solution.
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Elvin Azizbayov Department of Computational Mathematics Baku State University Z. Khalilov Str. 23 Baku, AZ1148, Azerbaijan email: eazizbayov@bsu.edu.az |
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Yashar Mehraliyev Department of Differential and Integral equations Baku State University Z. Khalilov Str. 23 Baku, AZ1148, Azerbaijan email: yashar_aze@mail.ru |
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