Geodesic
A nonlocal inverse problem for a~mixed-type equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2011), pp. 71-85

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We establish a criterion for the unique solvability of the inverse problem for the Lavrent'ev–Bitsadze equation with unknown right-hand member. We construct a solution as the sum of a biorthogonal series over systems of root functions of the corresponding adjoint problems on eigenvalues.
Keywords: mixed-type equation, inverse problem, spectral method, uniqueness
Mots-clés : existence. 
@article{IVM_2011_2_a7,
     author = {K. B. Sabitov and N. V. Martem'yanova},
     title = {A nonlocal inverse problem for a~mixed-type equation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {71--85},
     publisher = {mathdoc},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_2_a7/}
}
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K. B. Sabitov; N. V. Martem'yanova. A nonlocal inverse problem for a~mixed-type equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2011), pp. 71-85. http://geodesic.mathdoc.fr/item/IVM_2011_2_a7/