Geodesic
Well-posedness of the Dirichlet problem in a~cylindrical domain for multidimensional elliptic-parabolic equation
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 1, pp. 5-10

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A unique solvability of classic solutions to Dirichlet's problem in the cylindrical domain for the model multidimensional elliptic-parabolic equation is shown in the article. 
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     author = {S. A. Aldashev},
     title = {Well-posedness of the {Dirichlet} problem in a~cylindrical domain for multidimensional elliptic-parabolic equation},
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S. A. Aldashev. Well-posedness of the Dirichlet problem in a~cylindrical domain for multidimensional elliptic-parabolic equation. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 1, pp. 5-10. http://geodesic.mathdoc.fr/item/ISU_2014_14_1_a0/