Geodesic
A uniqueness theorem for solution of one Dirichlet problem
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2011), pp. 62-67

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We consider the Dirichlet problem in a four-dimensional domain formed by characteristic surfaces of an equation of the 8th order with the double major partial derivative. We state sufficient conditions for the unique solvability of this problem in terms of control coefficients, basing on the method of a priori estimates.
Keywords: Dirichlet problem, method of a priori estimates. 
@article{IVM_2011_5_a7,
     author = {E. A. Utkina},
     title = {A uniqueness theorem for solution of one {Dirichlet} problem},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {62--67},
     publisher = {mathdoc},
     number = {5},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_5_a7/}
}
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E. A. Utkina. A uniqueness theorem for solution of one Dirichlet problem. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2011), pp. 62-67. http://geodesic.mathdoc.fr/item/IVM_2011_5_a7/