A. D. Baev, S. S. Buneev, “The theorem on existence and uniqueness of the solution of one boundary value problem in strip for degenerate elliptic equations of higher order”, Izv. Saratov Univ. Math. Mech. Inform., 2012, Volume 12, Issue 3,Pages <nobr>8

Mathematics

The theorem on existence and uniqueness of the solution of one boundary value problem in strip for degenerate elliptic equations of higher order

A. D. Baev^a, S. S. Buneev^b

^a Voronezh State University, Chair of Mathematical Analysis
^b Yelets State University

Abstract: Theorem on the existence and uniqueness of the solution of the boundary value problem in the strip for one degenerate elliptic equations of higher order, which degenerate on one of boundary of the strip in the third-order equation by one variable, is proved.

Key words: a priori estimate, degenerate elliptic equation, weight of the space S. L. Sobolev.

UDC: 517.956

DOI: 10.18500/1816-9791-2012-12-3-8-17