Abstract
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.
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Original Russian Text Copyright © 2012 Sabitov K. B. and Martem’yanova N. V.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 53, No. 3, pp. 633–647, May–June, 2012.
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Sabitov, K.B., Martem’yanova, N.V. An inverse problem for an equation of elliptic-hyperbolic type with a nonlocal boundary condition. Sib Math J 53, 507–519 (2012). https://doi.org/10.1134/S0037446612020310
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DOI: https://doi.org/10.1134/S0037446612020310