Abstract
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.
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Original Russian Text © K.B. Sabitov and N.V. Martem’yanova, 2011, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, No. 2, pp. 71–85.
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Sabitov, K.B., Martem’yanova, N.V. A nonlocal inverse problem for a mixed-type equation. Russ Math. 55, 61–74 (2011). https://doi.org/10.3103/S1066369X11020083
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DOI: https://doi.org/10.3103/S1066369X11020083