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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2012, Issue 1(39), Pages 119–120 (Mi iimi57)  
On integral representation of functions for a second order singular elliptic operator

A. Yu. Sazonov, Yu. G. Fomicheva

Tambov State University
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Abstract: For a second order $B$-elliptic operator with singularities by several variables, we receive Green's formula and integral representation of smooth functions. The maximum principle and uniqueness of a classical solution of the Dirichlet problem for such operators are established.
Keywords: $B$-elliptic operator, Green's formula, maximum principle.
Received: 15.02.2012
Bibliographic databases:
Document Type: Article
UDC: 517.958
MSC: 35J75
Language: Russian
Citation: A. Yu. Sazonov, Yu. G. Fomicheva, “On integral representation of functions for a second order singular elliptic operator”, Izv. IMI UdGU, 2012, no. 1(39), 119–120
Citation in format AMSBIB
\Bibitem{SazFom12}
\by A.~Yu.~Sazonov, Yu.~G.~Fomicheva
\paper On integral representation of functions for a second order singular elliptic operator
\jour Izv. IMI UdGU
\yr 2012
\issue 1(39)
\pages 119--120
\mathnet{http://mi.mathnet.ru/iimi57}
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