Elliptic operators and boundary problems in spaces of generalized smoothness

Abstract

The paper contains a survey of the results obtained during the last ten years in the theory of elliptic boundary problems in Hörmander function spaces, developed by the authors, and other related results of modern analysis. The basics of this theory and some of its applications are systematically expounded in the monograph "Hörmander Spaces, Interpolation, and Elliptic Problems" (De Gruyter, Berlin/Boston, 2014) by the first two authors of the survey.

Ukrainian; 34 pages; 163 references