Exponential Stability of the Heat Equation with Boundary Time-Varying Delays
In this paper, we consider the heat equation with a time-varying delays term in the boundary condition in a bounded domain of Rn, the boundary Γ is a class C2 such that Γ = ΓD∪ΓN, with ΓD∩ ΓN = ∅, ΓD 6= ∅ and ΓN 6= ∅. Well-posedness of the problems is analyzed by using semigroup theory. The exponent...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Etamaths Publishing
2016-04-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/707 |
| _version_ | 1818656678423298048 |
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| author | Mouataz Billah Mesmouli Abdelouaheb Ardjouni Ahcene Djoudi |
| author_facet | Mouataz Billah Mesmouli Abdelouaheb Ardjouni Ahcene Djoudi |
| author_sort | Mouataz Billah Mesmouli |
| collection | DOAJ |
| description | In this paper, we consider the heat equation with a time-varying delays term in the boundary condition in a bounded domain of Rn, the boundary Γ is a class C2 such that Γ = ΓD∪ΓN, with ΓD∩ ΓN = ∅, ΓD 6= ∅ and ΓN 6= ∅. Well-posedness of the problems is analyzed by using semigroup theory. The exponential stability of the problem is proved. This paper extends in n-dimensional the results of the heat equation obtained in [11]. |
| first_indexed | 2024-12-17T03:29:24Z |
| format | Article |
| id | doaj.art-71848b10153e4b96b77b6c0755879e59 |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-12-17T03:29:24Z |
| publishDate | 2016-04-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-71848b10153e4b96b77b6c0755879e592022-12-21T22:05:19ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392016-04-011114353174Exponential Stability of the Heat Equation with Boundary Time-Varying DelaysMouataz Billah MesmouliAbdelouaheb ArdjouniAhcene DjoudiIn this paper, we consider the heat equation with a time-varying delays term in the boundary condition in a bounded domain of Rn, the boundary Γ is a class C2 such that Γ = ΓD∪ΓN, with ΓD∩ ΓN = ∅, ΓD 6= ∅ and ΓN 6= ∅. Well-posedness of the problems is analyzed by using semigroup theory. The exponential stability of the problem is proved. This paper extends in n-dimensional the results of the heat equation obtained in [11].http://etamaths.com/index.php/ijaa/article/view/707 |
| spellingShingle | Mouataz Billah Mesmouli Abdelouaheb Ardjouni Ahcene Djoudi Exponential Stability of the Heat Equation with Boundary Time-Varying Delays International Journal of Analysis and Applications |
| title | Exponential Stability of the Heat Equation with Boundary Time-Varying Delays |
| title_full | Exponential Stability of the Heat Equation with Boundary Time-Varying Delays |
| title_fullStr | Exponential Stability of the Heat Equation with Boundary Time-Varying Delays |
| title_full_unstemmed | Exponential Stability of the Heat Equation with Boundary Time-Varying Delays |
| title_short | Exponential Stability of the Heat Equation with Boundary Time-Varying Delays |
| title_sort | exponential stability of the heat equation with boundary time varying delays |
| url | http://etamaths.com/index.php/ijaa/article/view/707 |
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