Article

The boundary-value problem for the Lavrent’ev-Bitsadze equation with unknown right-hand side

К. Б. СабитовInstitute of Applied Research of Academy of Sciences of Republic Bashkortostan, ul. Odesskaya 68, Sterlitamak, 453103, RussiaI. A. KhadzhiSterlitamak State Pedagogical Academy, pr. Lenina 37, Sterlitamak, 453103, Russia

2011en

ABI

Abstract

We study the inverse problem for the Lavrent’ev-Bitsadze equation in a rectangular domain. We construct its solution as a series of eigenfunctions for the corresponding problem on eigenvalues and establish a criterion for its uniqueness. We also prove the stability of the obtained solution.

Identifiers

DOI: 10.3103/s1066369x11050069

Citations and references

Cited by 20 references

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