The nonlocal inverse problem of the identification of the lowest coefficient and the right-hand side in a second-order parabolic equation with integral conditions

被引：7

作者：

Azizbayov, Elvin I. ^{[1
]}

机构：

[1] Baku State Univ, Dept Computat Math, Baku, Azerbaijan

来源：

BOUNDARY VALUE PROBLEMS | 2019年 / 2019卷 / 1期

关键词：

Inverse problem; Parabolic equation; Overdetermination conditions; Classical solution; HEAT-EQUATION; BOUNDARY;

D O I：

10.1186/s13661-019-1126-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper a nonlocal inverse boundary-value problem for a second-order parabolic equation is considered. This investigation introduces the identification of the lowest unknown coefficient and time-depend right-hand side in a second-order parabolic equation on overdetermination at the internal points. Sufficient conditions for the existence and uniqueness of the classical solution to inverse problem of a second-order parabolic equation are obtained for small time.

引用

页数：19

共 50 条

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