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ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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A priori estimates for degenerate elliptic operators in generalized Sobolev spaces

G.A. Smolkin1

AnnotationIn this paper we find a priori estimates in Sobolev spaces for second order differential operators with nonnegative characteristic form of a special form. The possible generalizations.
KeywordsSobolev spaces, a priori estimates, the theory pseudodifferential operators, left perametriks.

1Associate Professor of Differential Equations Chair, Mordovian State University after N. P. Ogarev, Saransk; gsmolkin@mail.ru.

Citation: G.A. Smolkin, "[A priori estimates for degenerate elliptic operators in generalized Sobolev spaces]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,13:1 (2011) 71–78 (In Russian)