Existence and Uniqueness Results for an Inverse Problem for a Semilinear Equation with Final Overdetermination

被引：4

作者：

Sazaklioglu, Ali Ugur ^{[1
,2
]}

Erdogan, Abdullah Said ^{[3
]}

Ashyralyev, Allaberen ^{[4
,5
,6
]}

机构：

[1] Univ Turkish Aeronaut Assoc, Dept Astronaut Engn, TR-06790 Ankara, Turkey

[2] Istanbul Univ, Dept Math, TR-34452 Istanbul, Turkey

[3] Satbayev Univ, Sigma Labs, Alma Ata 050013, Kazakhstan

[4] Near East Univ, Dept Math, Mersin 10, Nicosia, Trnc, Turkey

[5] Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan

[6] Peoples Friendship Univ Russia, Moscow 117198, Russia

来源：

FILOMAT | 2018年 / 32卷 / 03期

关键词：

Semilinear parabolic equations; inverse problem; finite difference method; existence; uniqueness; PARABOLIC EQUATIONS;

D O I：

10.2298/FIL1803847S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, unique solvability of a source identification inverse problem for a semilinear equation with a final overdetermination in a Banach space is investigated. Moreover, the first order of accuracy Rothe difference scheme is presented for numerically solving this problem. The existence and uniqueness result for this difference scheme is given. The efficiency of the proposed method is evaluated by means of computational experiments.

引用

页码：847 / 858

页数：12

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