2021
DIRICHLET AND NEUMAN PROBLEM FOR SECOND-ORDER ELLIPTIC SYSTEMS WITH DISCONTINOUS COEFFICIENTS
Authors: Jangibekov Gulhoja – Doctor of Physics and Mathematics Sciences, Professor of the Department of Functional Analysis and Differential Equations Tajik National University (Tajikistan Republic, Dushanbe)
JOURNAL NUMBER: 1(56). YEAR OF ISSUE: 2021.LANGUAGE OF THE ARTICLE: Russian
ANNOTATION
The purpose of this work is to establish effective necessary and sufficient conditions for the noetherian problem of Dirichlet and Neumann for a second-order elliptic system with discontinuous coefficients and to obtain a formula for calculating the index.
KEY WORDS
noetherian property, two-dimensional singular integral operators, Dirichlet problem, problem index.