The boundary-value problem for the Lavrent’ev-Bitsadze equation with unknown right-hand side |
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| Authors: | K B Sabitov I A Khadzhi |
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| Institution: | 1. Institute of Applied Research of Academy of Sciences of Republic Bashkortostan, ul. Odesskaya 68, Sterlitamak, 453103, Russia
2. Sterlitamak State Pedagogical Academy, pr. Lenina 37, Sterlitamak, 453103, Russia
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| 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. |
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