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Title: Boundary values of functions in a Sobolev space with Muckenhoupt weight on some non-Lipschitz domains

This paper gives an explicit description of the traces of functions in a weighted Sobolev space (with local Muckenhoupt weight) on the domain lying between two graphs of Lipschitz functions and on the complement of the closure of this domain. Bibliography: 11 titles.
Authors:
 [1]
  1. Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow Region (Russian Federation)
Publication Date:
OSTI Identifier:
22364912
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 205; Journal Issue: 8; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; DIAGRAMS; FUNCTIONS; GRAPH THEORY; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE