An inverse problem for an equation of elliptic-hyperbolic type with a nonlocal boundary condition |
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Authors: | K B Sabitov N V Martem’yanova |
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Institution: | 1. Samara State Academy of Social Sciences and Humanities, Samara, Russia
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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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