Strong Exponential Attractors for Weakly Damped Semilinear Wave Equations
In this paper, we investigate the longtime dynamics for the damped wave equation in a bounded smooth domain of ℝ3. The exponential attractor is investigated in a strong energy space for the case of subquintic nonlinearity, which is based on the recent extension of the Strichartz estimate for the cas...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/6293746 |
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| _version_ | 1850165257954131968 |
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| author | Cuncai Liu Fengjuan Meng Chang Zhang |
| author_facet | Cuncai Liu Fengjuan Meng Chang Zhang |
| author_sort | Cuncai Liu |
| collection | DOAJ |
| description | In this paper, we investigate the longtime dynamics for the damped wave equation in a bounded smooth domain of ℝ3. The exponential attractor is investigated in a strong energy space for the case of subquintic nonlinearity, which is based on the recent extension of the Strichartz estimate for the case of a bounded domain. The results obtained complete some previous works. |
| format | Article |
| id | doaj-art-ecb10bdb68f7472abb324c8e52d5f9cf |
| institution | OA Journals |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-ecb10bdb68f7472abb324c8e52d5f9cf2025-08-20T02:21:47ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/62937466293746Strong Exponential Attractors for Weakly Damped Semilinear Wave EquationsCuncai Liu0Fengjuan Meng1Chang Zhang2School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, ChinaSchool of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, ChinaSchool of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, ChinaIn this paper, we investigate the longtime dynamics for the damped wave equation in a bounded smooth domain of ℝ3. The exponential attractor is investigated in a strong energy space for the case of subquintic nonlinearity, which is based on the recent extension of the Strichartz estimate for the case of a bounded domain. The results obtained complete some previous works.http://dx.doi.org/10.1155/2020/6293746 |
| spellingShingle | Cuncai Liu Fengjuan Meng Chang Zhang Strong Exponential Attractors for Weakly Damped Semilinear Wave Equations Journal of Mathematics |
| title | Strong Exponential Attractors for Weakly Damped Semilinear Wave Equations |
| title_full | Strong Exponential Attractors for Weakly Damped Semilinear Wave Equations |
| title_fullStr | Strong Exponential Attractors for Weakly Damped Semilinear Wave Equations |
| title_full_unstemmed | Strong Exponential Attractors for Weakly Damped Semilinear Wave Equations |
| title_short | Strong Exponential Attractors for Weakly Damped Semilinear Wave Equations |
| title_sort | strong exponential attractors for weakly damped semilinear wave equations |
| url | http://dx.doi.org/10.1155/2020/6293746 |
| work_keys_str_mv | AT cuncailiu strongexponentialattractorsforweaklydampedsemilinearwaveequations AT fengjuanmeng strongexponentialattractorsforweaklydampedsemilinearwaveequations AT changzhang strongexponentialattractorsforweaklydampedsemilinearwaveequations |