Well-posedness of Neumann-type Elliptic Overdetermined Problem with Integral Condition

被引：9
作者：
Ashyralyyev, Charyyar [1 ,2 ]
Cay, Aysel [1 ]
机构：
[1] Gumushane Univ, Dept Math Engn, TR-29100 Gumushane, Turkey
[2] TAU, Ashkhabad, Turkmenistan
来源：
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2018) | 2018年 / 1997卷
关键词：
INVERSE PROBLEMS; EQUATION; APPROXIMATION;
D O I：
10.1063/1.5049020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The current paper is devoted to overdetermined elliptic problem with integral condition for derivatives. This overdetermined problem is converted to auxiliary nonlocal boundary value problem (ANBVP) with integral boundary condition. Well-posedness of abstract problem is established. Then, obtained results are used to obtain stability inequalities for solution of three Neumann-type inverse elliptic problems with integral condition to multidimensional differential equation.
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页数：6
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共 25 条
[1]   STABLE DETERMINATION OF AN INCLUSION IN AN ELASTIC BODY BY BOUNDARY MEASUREMENTS [J].
Alessandrini, Giovanni ;
Di Cristo, Michele ;
Morassi, Antonino ;
Rosset, Edi .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2014, 46 (04) :2692-2729
[2]  
Ashyralyev A., 2004, NEW DIFFERENCE SCHEM
[3]   Investigation of a Time-Dependent Source Identification Inverse Problem with Integral Overdetermination [J].
Ashyralyev, Allaberen ;
Sazaklioglu, Ali Ugur .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2017, 38 (10) :1276-1294
[4]   On the problem of determining the parameter of an elliptic equation in a Banach space [J].
Ashyralyev, Allaberen ;
Ashyralyyev, Charyyar .
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2014, 19 (03) :350-366
[5]   On source identification problem for a delay parabolic equation [J].
Ashyralyev, Allaberen ;
Agirseven, Deniz .
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2014, 19 (03) :335-349
[6]  
Ashyralyyev C, 2017, ELECTRON J DIFFER EQ
[7]   Stability Estimates for Solution of Neumann-Type Overdetermined Elliptic Problem [J].
Ashyralyyev, Charyyar .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2017, 38 (10) :1226-1243
[8]   Numerical solution to Bitsadze-Samarskii type elliptic overdetermined multipoint NBVP [J].
Ashyralyyev, Charyyar .
BOUNDARY VALUE PROBLEMS, 2017,
[9]   A Fourth Order Approximation of the Neumann Type Overdetermined Elliptic Problem [J].
Ashyralyyev, Charyyar .
FILOMAT, 2017, 31 (04) :967-980
[10]   Inverse Neumann problem for an equation of elliptic type [J].
Ashyralyyev, Charyyar .
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2014), 2014, 1611 :46-52
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