Existence and Uniqueness Results for an Inverse Problem for Semilinear Parabolic Equations

Existence and Uniqueness Results for an Inverse Problem for Semilinear Parabolic Equations

In the present study, unique solvability of an inverse problem governed by semilinear parabolic equations with an integral overdetermination is investigated. Furthermore, for the approximate solution of this problem a first order of accuracy difference scheme is constructed. Existence and uniqueness...

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Veröffentlicht in:Filomat 2017-01, Vol.31 (4), p.1057-1064
Hauptverfasser: Sazaklioglu, Ali Ugur, Ashyralyev, Allaberen, Erdogan, Abdullah Said
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Sprache:eng
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Inverse problems
Uniqueness
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creator Sazaklioglu, Ali Ugur
Ashyralyev, Allaberen
Erdogan, Abdullah Said
description In the present study, unique solvability of an inverse problem governed by semilinear parabolic equations with an integral overdetermination is investigated. Furthermore, for the approximate solution of this problem a first order of accuracy difference scheme is constructed. Existence and uniqueness results for the solution of this difference scheme are established. Considering a particular example, some numerical results are discussed.
doi_str_mv 10.2298/FIL1704057S
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subjects Inverse problems
Uniqueness
title Existence and Uniqueness Results for an Inverse Problem for Semilinear Parabolic Equations
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