Some generalized Poincaré inequalities and applications to problems arising in electromagnetism
<p/> <p>Two Poincaré type theorems for sufficiently regular fields are obtained. In particular, we prove that their <inline-formula><graphic file="1029-242X-1999-595814-i1.gif"/></inline-formula>-norm can be controlled by the <inline-formula><...
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| Format: | Article |
| Language: | English |
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SpringerOpen
1999-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/4/595814 |
| _version_ | 1811304206855831552 |
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| author | Nibbi Roberta |
| author_facet | Nibbi Roberta |
| author_sort | Nibbi Roberta |
| collection | DOAJ |
| description | <p/> <p>Two Poincaré type theorems for sufficiently regular fields are obtained. In particular, we prove that their <inline-formula><graphic file="1029-242X-1999-595814-i1.gif"/></inline-formula>-norm can be controlled by the <inline-formula><graphic file="1029-242X-1999-595814-i2.gif"/></inline-formula>-norms of their curl and divergence and the <inline-formula><graphic file="1029-242X-1999-595814-i3.gif"/></inline-formula>-norm of their tangential (or normal) component on the boundary. Finally, some applications of these results are given in the context of the electromagnetic theory.</p> |
| first_indexed | 2024-04-13T08:03:02Z |
| format | Article |
| id | doaj.art-f294400bb78e4dd1981bb696cd3a1853 |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-04-13T08:03:02Z |
| publishDate | 1999-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-f294400bb78e4dd1981bb696cd3a18532022-12-22T02:55:15ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X1999-01-0119994595814Some generalized Poincaré inequalities and applications to problems arising in electromagnetismNibbi Roberta<p/> <p>Two Poincaré type theorems for sufficiently regular fields are obtained. In particular, we prove that their <inline-formula><graphic file="1029-242X-1999-595814-i1.gif"/></inline-formula>-norm can be controlled by the <inline-formula><graphic file="1029-242X-1999-595814-i2.gif"/></inline-formula>-norms of their curl and divergence and the <inline-formula><graphic file="1029-242X-1999-595814-i3.gif"/></inline-formula>-norm of their tangential (or normal) component on the boundary. Finally, some applications of these results are given in the context of the electromagnetic theory.</p>http://www.journalofinequalitiesandapplications.com/content/4/595814Modified Poincaré inequalitiesBoundary value problemsMaxwell's equations |
| spellingShingle | Nibbi Roberta Some generalized Poincaré inequalities and applications to problems arising in electromagnetism Journal of Inequalities and Applications Modified Poincaré inequalities Boundary value problems Maxwell's equations |
| title | Some generalized Poincaré inequalities and applications to problems arising in electromagnetism |
| title_full | Some generalized Poincaré inequalities and applications to problems arising in electromagnetism |
| title_fullStr | Some generalized Poincaré inequalities and applications to problems arising in electromagnetism |
| title_full_unstemmed | Some generalized Poincaré inequalities and applications to problems arising in electromagnetism |
| title_short | Some generalized Poincaré inequalities and applications to problems arising in electromagnetism |
| title_sort | some generalized poincar 233 inequalities and applications to problems arising in electromagnetism |
| topic | Modified Poincaré inequalities Boundary value problems Maxwell's equations |
| url | http://www.journalofinequalitiesandapplications.com/content/4/595814 |
| work_keys_str_mv | AT nibbiroberta somegeneralizedpoincar233inequalitiesandapplicationstoproblemsarisinginelectromagnetism |