Inverse problem for an equation of parabolic-hyperbolic type with a nonlocal boundary condition

被引：4

作者：

Sabitov, K. B. ^{[1
]}

Yunusova, G. R. ^{[1
]}

机构：

[1] Samara State Univ Architecture & Civil Engn, Samara, Russia

来源：

DIFFERENTIAL EQUATIONS | 2012年 / 48卷 / 02期

关键词：

Inverse Problem; Rectangular Domain; Nonlocal Condition; Closed Domain; Uniqueness Criterion;

D O I：

10.1134/S0012266112020085

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For an equation of the parabolic-hyperbolic type, we consider an inverse problem with a nonlocal condition relating solution derivatives that belong to different types of the equation in question. We justify a uniqueness criterion and prove the existence of a solution of the problem by the spectral analysis method. We prove the stability of the solution with respect to the nonlocal boundary condition.

引用

页码：246 / 254

页数：9

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