A Nonlocal Inverse Problem for a Mixed-Type Equation

被引：16

作者：

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

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

机构：

[1] Volga Reg Social Humanitarian Acad, Ul Antonova Ovseenko 26, Samara 443090, Russia

来源：

RUSSIAN MATHEMATICS | 2011年 / 55卷 / 02期

关键词：

mixed-type equation; inverse problem; spectral method; unique solvability;

D O I：

10.3103/S1066369X11020083

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish a criterion for the unique solvability of the inverse problem for the Lavrent'ev-Bitsadze equation with unknown right-hand side. We construct a solution as the sum of a series over a system of bi-orthogonal root functions of the corresponding adjoint problems on eigenvalues.

引用

页码：61 / 74

页数：14

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