Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


For citation:

Aldashev S. A. Well-posedness of the Dirichlet Problem for a Class of Multidimensional Elliptic-parabolic Equations. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2016, vol. 16, iss. 2, pp. 125-132. DOI: 10.18500/1816-9791-2016-16-2-125-132, EDN: WCNQGF

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
14.06.2016
Full text:
(downloads: 132)
Language: 
Russian
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UDC: 
517.956
EDN: 
WCNQGF

Well-posedness of the Dirichlet Problem for a Class of Multidimensional Elliptic-parabolic Equations

Autors: 
Aldashev Serik Aimurzaevich, Abai Kazakh National Pedagogical University
Abstract: 

Correctness of boundary problems in the plane for elliptic equations is well analyzed by analitic function theory of complex variable. There appear principal difficulties in similar problems when the number of independent variables is more than two. An attractive and suitable method of singular integral equations is less strong because of lock of any complete theory of multidimensional singular integral equations. In the work, the method proposed in the author’s works, shows the unique solvability and obtained the explicit form of the Dirichlet problem in the cylindric domain for a class of multidimensional elliptic-parabolic equations.

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Received: 
10.01.2016
Accepted: 
28.05.2016
Published: 
30.06.2016