Transport operator on phase spaces with finite time of sojourn property
In this article, the transport operator with general boundary conditions is discussed. According to a smallness hypothesis on the boundary operator and to finite time of sojourn property of phase spaces, we prove that the transport operator generates a strongly continuous semigroup and we give...
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| Format: | Article |
| Language: | English |
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Texas State University
2010-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2010/18/abstr.html |
| _version_ | 1818475582684397568 |
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| author | Mohamed Boulanouar |
| author_facet | Mohamed Boulanouar |
| author_sort | Mohamed Boulanouar |
| collection | DOAJ |
| description | In this article, the transport operator with general boundary conditions is discussed. According to a smallness hypothesis on the boundary operator and to finite time of sojourn property of phase spaces, we prove that the transport operator generates a strongly continuous semigroup and we give its upper bound. |
| first_indexed | 2024-12-10T09:14:32Z |
| format | Article |
| id | doaj.art-6f886baafc5a4e4eb36f298728bfac3c |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-10T09:14:32Z |
| publishDate | 2010-01-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-6f886baafc5a4e4eb36f298728bfac3c2022-12-22T01:54:54ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912010-01-01201018,19Transport operator on phase spaces with finite time of sojourn propertyMohamed BoulanouarIn this article, the transport operator with general boundary conditions is discussed. According to a smallness hypothesis on the boundary operator and to finite time of sojourn property of phase spaces, we prove that the transport operator generates a strongly continuous semigroup and we give its upper bound.http://ejde.math.txstate.edu/Volumes/2010/18/abstr.htmlPositivitystrongly continuous semigroupstransport operator |
| spellingShingle | Mohamed Boulanouar Transport operator on phase spaces with finite time of sojourn property Electronic Journal of Differential Equations Positivity strongly continuous semigroups transport operator |
| title | Transport operator on phase spaces with finite time of sojourn property |
| title_full | Transport operator on phase spaces with finite time of sojourn property |
| title_fullStr | Transport operator on phase spaces with finite time of sojourn property |
| title_full_unstemmed | Transport operator on phase spaces with finite time of sojourn property |
| title_short | Transport operator on phase spaces with finite time of sojourn property |
| title_sort | transport operator on phase spaces with finite time of sojourn property |
| topic | Positivity strongly continuous semigroups transport operator |
| url | http://ejde.math.txstate.edu/Volumes/2010/18/abstr.html |
| work_keys_str_mv | AT mohamedboulanouar transportoperatoronphasespaceswithfinitetimeofsojournproperty |