Geodesic
The inverse problem for a~mixed-type parabolic-hyperbolic equation in a~rectangular domain
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2010), pp. 55-62

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In this paper with the help of the spectral method we obtain a criterion for the unique solvability of the inverse problem for a mixed-type parabolic-hyperbolic equation in a rectangular domain. This problem implies the search of the unknown right-hand side.
Keywords: spectral method, Fourier series, inverse problem, mixed-type parabolic-hyperbolic equation. 
@article{IVM_2010_4_a5,
     author = {K. B. Sabitov and E. M. Safin},
     title = {The inverse problem for a~mixed-type parabolic-hyperbolic equation in a~rectangular domain},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {55--62},
     publisher = {mathdoc},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_4_a5/}
}
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K. B. Sabitov; E. M. Safin. The inverse problem for a~mixed-type parabolic-hyperbolic equation in a~rectangular domain. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2010), pp. 55-62. http://geodesic.mathdoc.fr/item/IVM_2010_4_a5/