In Middle Volga Mathematical Society

A priori estimates for degenerate elliptic operators in generalized Sobolev spaces

G. A. Smolkin

Mordovian State University, Saransk

Abstract: In 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

Keywords: Sobolev spaces, a priori estimates, the theory pseudodifferential operators, left perametriks.

UDC: 517.95

Received: 22.06.2011