Linear inverse problems for parabolic and hyperbolic equations

被引：20

作者：

Kozhanov, Aleksandr Ivanovich ^{[1
]}

Safiullova, Regina Rifkhatovna ^{[2
]}

机构：

[1] Sobolev Inst Math, Novosibirsk 630090, Russia

[2] Sterlitamak State Pedag Acad, Sterlitamak 453103, Russia

来源：

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2010年 / 18卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

Parabolic equations; hyperbolic equations; unknown right-hand side; general overdetermination condition; existence and uniqueness of solutions;

D O I：

10.1515/JIIP.2010.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study solvability of the parabolic and hyperbolic inverse problems of finding a solution together with an unknown right-hand side when the general overdetermination condition is given (the cases of final and integral overdetermination are inclusively). Some theorems of unique existence of regular solutions are proved.

引用

页码：1 / 24

页数：24

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