skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Abstract

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

Citation Formats

Tyulenev, A I. Boundary values of functions in a Sobolev space with Muckenhoupt weight on some non-Lipschitz domains. United States: N. p., 2014. Web. doi:10.1070/SM2014V205N08ABEH004413.
Tyulenev, A I. Boundary values of functions in a Sobolev space with Muckenhoupt weight on some non-Lipschitz domains. United States. doi:10.1070/SM2014V205N08ABEH004413.
Tyulenev, A I. Fri . "Boundary values of functions in a Sobolev space with Muckenhoupt weight on some non-Lipschitz domains". United States. doi:10.1070/SM2014V205N08ABEH004413.
@article{osti_22364912,
title = {Boundary values of functions in a Sobolev space with Muckenhoupt weight on some non-Lipschitz domains},
author = {Tyulenev, A I},
abstractNote = {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.},
doi = {10.1070/SM2014V205N08ABEH004413},
journal = {Sbornik. Mathematics},
number = 8,
volume = 205,
place = {United States},
year = {Fri Aug 01 00:00:00 EDT 2014},
month = {Fri Aug 01 00:00:00 EDT 2014}
}