AN INVERSE PROBLEM FOR AN EQUATION OF ELLIPTIC-HYPERBOLIC TYPE WITH A NONLOCAL BOUNDARY CONDITION

被引：0

作者：

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

Martem'yanova, N. V. ^{[1
]}

机构：

[1] Samara State Acad Social Sci & Humanities, Samara, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2012年 / 53卷 / 03期

关键词：

mixed type equation; inverse problem; spectral method; uniqueness; existence; stability; RECTANGULAR DOMAIN; MIXED-TYPE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We examine a mixed type equation with the Lavrent'ev-Bitsadze operator and an unknown right-hand side in a rectangle and study a nonlocal boundary value problem in which the values of the stream function on the lateral sides of the rectangle are equal. The solution is given as a sum of a biorthogonal series. The uniqueness criterion and stability of solutions with respect to the boundary data are established.

引用

页码：507 / 519

页数：13

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