Уравнения соболевского типа в общих областях

Abstract

We consider the boundary value problem for the Sobolev type third order equation. It is prescribed the periodicity along time-operator characteristics. Regularity of the coefficients or domain are very weakened, but we demand from time-operator the existence of good invariant measure for its characteristic system. The notion of “characteristics” for a first-order operator with L∞-coefficients is defined.