Weak formulation of singular differential expressions in spaces of functions with minimal derivatives

A weak formulation for singular symmetric differential expressions is presented in spaces of functions which possess minimal differentiability requirements. These spaces are used to characterize the domains of the various operators associated with such expressions. In particular, domains of self-adj...

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Main Author: M. A. El-Gebeily
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/AAA.2005.691
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spelling doaj-08d38e29635b451a81d3b946aa2ec2a12020-11-24T21:59:05ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092005-01-012005769170510.1155/AAA.2005.691Weak formulation of singular differential expressions in spaces of functions with minimal derivativesM. A. El-Gebeily0Mathematical Sciences Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaA weak formulation for singular symmetric differential expressions is presented in spaces of functions which possess minimal differentiability requirements. These spaces are used to characterize the domains of the various operators associated with such expressions. In particular, domains of self-adjoint differential operators are characterized.http://dx.doi.org/10.1155/AAA.2005.691
collection DOAJ
language English
format Article
sources DOAJ
author M. A. El-Gebeily
spellingShingle M. A. El-Gebeily
Weak formulation of singular differential expressions in spaces of functions with minimal derivatives
Abstract and Applied Analysis
author_facet M. A. El-Gebeily
author_sort M. A. El-Gebeily
title Weak formulation of singular differential expressions in spaces of functions with minimal derivatives
title_short Weak formulation of singular differential expressions in spaces of functions with minimal derivatives
title_full Weak formulation of singular differential expressions in spaces of functions with minimal derivatives
title_fullStr Weak formulation of singular differential expressions in spaces of functions with minimal derivatives
title_full_unstemmed Weak formulation of singular differential expressions in spaces of functions with minimal derivatives
title_sort weak formulation of singular differential expressions in spaces of functions with minimal derivatives
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2005-01-01
description A weak formulation for singular symmetric differential expressions is presented in spaces of functions which possess minimal differentiability requirements. These spaces are used to characterize the domains of the various operators associated with such expressions. In particular, domains of self-adjoint differential operators are characterized.
url http://dx.doi.org/10.1155/AAA.2005.691
work_keys_str_mv AT maelgebeily weakformulationofsingulardifferentialexpressionsinspacesoffunctionswithminimalderivatives
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