On an inverse problem for a parabolic equation with the Cauchy data on a part of the lateral boundary of a cylinder

被引：0

作者：

Pyatkov, S. G. ^{[1
,2
]}

Borichevskaya, A. G. ^{[1
]}

机构：

[1] Yugra State Univ, Khanty Mansiisk, Russia

[2] Sobolev Inst Math, Novosibirsk, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2013年 / 54卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

inverse problem; second order parabolic equation; boundary value problem; overdetermination condition;

D O I：

10.1134/S003744661302016X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Under examination is the question on existence and uniqueness of solutions to some inverse problems for a parabolic equation. We look for a solution of this equation and a coefficient with the use of the data of an initial-boundary value problem and the Cauchy data on a part of the boundary of a spatial cylindrical domain. A solution is sought in Sobolev spaces and the coefficient in the class of continuous functions.

引用

页码：341 / 352

页数：12

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