Extension of Some Lions-Magenes Theorems
A general form of the Lions - Magenes theorems on solvability of an elliptic boundary-value problem in the spaces of nonregular distributions is proved. We find a general condition on the space of right-hand sides of the elliptic equation under which the operator of the problem is bounded and has a...
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| Datum: | 2009 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/5709 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Extension of some Lions - Magenes theorems / A.A. Murach // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 2. — С. 152-167. — Бібліогр.: 38 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1859961535639584768 |
|---|---|
| author | Murach, A.A. |
| author_facet | Murach, A.A. |
| citation_txt | Extension of some Lions - Magenes theorems / A.A. Murach // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 2. — С. 152-167. — Бібліогр.: 38 назв. — англ. |
| collection | DSpace DC |
| description | A general form of the Lions - Magenes theorems on solvability of an elliptic boundary-value problem in the spaces of nonregular distributions is proved. We find a general condition on the space of right-hand sides of the elliptic equation under which the operator of the problem is bounded and has a finite index on the corresponding couple of Hilbert spaces. Extensive classes of the spaces satisfying this condition are constructed. They contain the spaces used by Lions and Magenes and many others spaces.
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| first_indexed | 2025-12-07T16:20:54Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-5709 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1029-3531 |
| language | English |
| last_indexed | 2025-12-07T16:20:54Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Murach, A.A. 2010-02-02T13:35:42Z 2010-02-02T13:35:42Z 2009 Extension of some Lions - Magenes theorems / A.A. Murach // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 2. — С. 152-167. — Бібліогр.: 38 назв. — англ. 1029-3531 https://nasplib.isofts.kiev.ua/handle/123456789/5709 A general form of the Lions - Magenes theorems on solvability of an elliptic boundary-value problem in the spaces of nonregular distributions is proved. We find a general condition on the space of right-hand sides of the elliptic equation under which the operator of the problem is bounded and has a finite index on the corresponding couple of Hilbert spaces. Extensive classes of the spaces satisfying this condition are constructed. They contain the spaces used by Lions and Magenes and many others spaces. en Інститут математики НАН України Extension of Some Lions-Magenes Theorems Article published earlier |
| spellingShingle | Extension of Some Lions-Magenes Theorems Murach, A.A. |
| title | Extension of Some Lions-Magenes Theorems |
| title_full | Extension of Some Lions-Magenes Theorems |
| title_fullStr | Extension of Some Lions-Magenes Theorems |
| title_full_unstemmed | Extension of Some Lions-Magenes Theorems |
| title_short | Extension of Some Lions-Magenes Theorems |
| title_sort | extension of some lions-magenes theorems |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/5709 |
| work_keys_str_mv | AT murachaa extensionofsomelionsmagenestheorems |