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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2005-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/AAA.2005.691 |
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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 |
_version_ |
1725849289412837376 |