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

被引：12

作者：

Sazaklioglu, Ali Ugur ^{[1
]}

Ashyralyev, Allaberen ^{[2
,3
,4
]}

Erdogan, Abdullah Said ^{[5
]}

机构：

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

[2] Near East Univ, Dept Math, TRNC, TR-10 Nicosia, Mersin, Turkey

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

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

[5] Kazakh British Tech Univ, Sigma LABS, ISE, Alma Ata 050000, Kazakhstan

来源：

FILOMAT | 2017年 / 31卷 / 04期

关键词：

semilinear parabolic equations; inverse problem; finite difference method; existence; uniqueness; RIGHT-HAND SIDE; IDENTIFICATION;

D O I：

10.2298/FIL1704057S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1057 / 1064

页数：8

共 50 条

[1] ON UNIQUENESS IN INVERSE PROBLEMS FOR SEMILINEAR PARABOLIC EQUATIONS
ISAKOV, V
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1993, 124 (01) : 1 - 12
[2] EXISTENCE AND GLOBAL UNIQUENESS FOR A SEMILINEAR PARABOLIC INTEGRO-DIFFERENTIAL INVERSE PROBLEM
Guidetti, Davide
[J]. BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR, 2006,
[3] A UNIQUENESS RESULT FOR A SEMILINEAR PARABOLIC INVERSE PROBLEM
CHOULLI, M
ZEGHAL, A
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1992, 315 (10): : 1051 - 1053
[4] Existence and Uniqueness Results for an Inverse Problem for a Semilinear Equation with Final Overdetermination
Sazaklioglu, Ali Ugur
Erdogan, Abdullah Said
Ashyralyev, Allaberen
[J]. FILOMAT, 2018, 32 (03) : 847 - 858
[5] EXISTENCE AND UNIQUENESS OF SOLUTIONS TO DEGENERATE SEMILINEAR PARABOLIC EQUATIONS
STAHEL, A
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1991, 93 (02) : 311 - 331
[6] EXISTENCE AND UNIQUENESS OF SOLUTIONS TO SEMILINEAR NONLOCAL PARABOLIC EQUATIONS
JACKSON, D
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 172 (01) : 256 - 265
[7] Numerical existence and uniqueness proof for solutions of semilinear parabolic equations
Minamoto, T
[J]. APPLIED MATHEMATICS LETTERS, 2001, 14 (06) : 707 - 714
[8] A global in time existence and uniqueness result for a semilinear integrodifferential parabolic inverse problem in sobolev spaces
Colombo, Fabrizio
Guidetti, Davide
[J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2007, 17 (04): : 537 - 565
[9] EXISTENCE AND UNIQUENESS OF THE SOLUTION OF INVERSE PROBLEM FOR A PARABOLIC EQUATION
ANIKONOV, IE
BUBNOV, BA
[J]. DOKLADY AKADEMII NAUK SSSR, 1988, 298 (04): : 777 - 779
[10] THE EXISTENCE AND THE UNIQUENESS OF A SEMILINEAR PARABOLIC EQUATION
LI, YY
[J]. ACTA MATHEMATICA SCIENTIA, 1985, 5 (01) : 93 - 104

← 1 2 3 4 5 →