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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2010 Volume 10, Issue 2, Pages 34–41 (Mi isu19)

Mathematics

Аbout some boundary problems in the semispace for a class of pseudo-differential equations with degeneracy

P. V. Sadchikov, A. D. Baev

Voronezh State University Chair of the Equations in Partial Derivatives and Probability Theory

Abstract: Boundary problems in the halfspace for one class of the pseudo-differential equations are considered. The coercetive a priori estimations and theorems of the existence of solutions for these problems are established.

Key words: degenerating elliptic equation, a priori estimation, pseudo-differential operator, boundary problem.

UDC: 517.956

DOI: 10.18500/1816-9791-2010-10-2-34-41



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