Geodesic
The Gellerstedt problem for a~parabolic-hyperbolic equation of the 2nd kind
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2009), pp. 33-38

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In this paper we consider the Gellerstedt problem for a parabolic-hyperbolic equation of the 2nd kind. We prove the unique solvability of this problem, using the representation (obtained by the author) for a solution to the modified Cauchy problem in a generalized class $R$.
Keywords: generalized solution, mixed-type equation, Gellerstedt problem, gluing conditions. 
@article{IVM_2009_4_a3,
     author = {N. K. Mamadaliev},
     title = {The {Gellerstedt} problem for a~parabolic-hyperbolic equation of the 2nd kind},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {33--38},
     publisher = {mathdoc},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_4_a3/}
}
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N. K. Mamadaliev. The Gellerstedt problem for a~parabolic-hyperbolic equation of the 2nd kind. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2009), pp. 33-38. http://geodesic.mathdoc.fr/item/IVM_2009_4_a3/