On some classes of inverse problems for parabolic and elliptic equations

被引：11

作者：

Pyatkov, S. G. ^{[1
]}

Tsybikov, B. N. ^{[1
]}

机构：

[1] Ugra State Univ Hanty Mansiisk, Sobolev Inst Math Novosibirsk, Hanty Mansiisk 628012, Russia

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2011年 / 11卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

Parabolic equation; Elliptic equation; Inverse problem; Control problem; Heat and mass transfer; INTERPOLATION; REGULARITY; THEOREMS;

D O I：

10.1007/s00028-010-0087-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study solvability of inverse problems of finding the right-hand side together with a solution itself for vector-valued parabolic and elliptic equations. The usual boundary conditions are supplemented with the overdetermination conditions that are the values of a solution on some system of surfaces.

引用

页码：155 / 186

页数：32

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