Existence of a random attractor for non-autonomous stochastic plate equations with additive noise and nonlinear damping on R n $\mathbb{R}^{n}$
Abstract Based on the abstract theory of pullback attractors of non-autonomous non-compact dynamical systems by differential equations with both dependent-time deterministic and stochastic forcing terms, introduced by Wang in (J. Differ. Equ. 253:1544–1583, 2012), we investigate the existence of pul...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-03-01
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| Series: | Boundary Value Problems |
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| Online Access: | http://link.springer.com/article/10.1186/s13661-020-01346-z |
| _version_ | 1818449386607214592 |
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| author | Xiaobin Yao |
| author_facet | Xiaobin Yao |
| author_sort | Xiaobin Yao |
| collection | DOAJ |
| description | Abstract Based on the abstract theory of pullback attractors of non-autonomous non-compact dynamical systems by differential equations with both dependent-time deterministic and stochastic forcing terms, introduced by Wang in (J. Differ. Equ. 253:1544–1583, 2012), we investigate the existence of pullback attractors for the non-autonomous stochastic plate equations with additive noise and nonlinear damping on R n $\mathbb{R}^{n}$ . |
| first_indexed | 2024-12-14T20:34:35Z |
| format | Article |
| id | doaj.art-70950fb38f194d3a89276d4f996380e3 |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-12-14T20:34:35Z |
| publishDate | 2020-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-70950fb38f194d3a89276d4f996380e32022-12-21T22:48:26ZengSpringerOpenBoundary Value Problems1687-27702020-03-012020112710.1186/s13661-020-01346-zExistence of a random attractor for non-autonomous stochastic plate equations with additive noise and nonlinear damping on R n $\mathbb{R}^{n}$Xiaobin Yao0School of Mathematics and Statistics, Qinghai Nationalities UniversityAbstract Based on the abstract theory of pullback attractors of non-autonomous non-compact dynamical systems by differential equations with both dependent-time deterministic and stochastic forcing terms, introduced by Wang in (J. Differ. Equ. 253:1544–1583, 2012), we investigate the existence of pullback attractors for the non-autonomous stochastic plate equations with additive noise and nonlinear damping on R n $\mathbb{R}^{n}$ .http://link.springer.com/article/10.1186/s13661-020-01346-zPullback attractorsPate equationUnbounded domainsThe splitting techniqueAdditive noise |
| spellingShingle | Xiaobin Yao Existence of a random attractor for non-autonomous stochastic plate equations with additive noise and nonlinear damping on R n $\mathbb{R}^{n}$ Boundary Value Problems Pullback attractors Pate equation Unbounded domains The splitting technique Additive noise |
| title | Existence of a random attractor for non-autonomous stochastic plate equations with additive noise and nonlinear damping on R n $\mathbb{R}^{n}$ |
| title_full | Existence of a random attractor for non-autonomous stochastic plate equations with additive noise and nonlinear damping on R n $\mathbb{R}^{n}$ |
| title_fullStr | Existence of a random attractor for non-autonomous stochastic plate equations with additive noise and nonlinear damping on R n $\mathbb{R}^{n}$ |
| title_full_unstemmed | Existence of a random attractor for non-autonomous stochastic plate equations with additive noise and nonlinear damping on R n $\mathbb{R}^{n}$ |
| title_short | Existence of a random attractor for non-autonomous stochastic plate equations with additive noise and nonlinear damping on R n $\mathbb{R}^{n}$ |
| title_sort | existence of a random attractor for non autonomous stochastic plate equations with additive noise and nonlinear damping on r n mathbb r n |
| topic | Pullback attractors Pate equation Unbounded domains The splitting technique Additive noise |
| url | http://link.springer.com/article/10.1186/s13661-020-01346-z |
| work_keys_str_mv | AT xiaobinyao existenceofarandomattractorfornonautonomousstochasticplateequationswithadditivenoiseandnonlineardampingonrnmathbbrn |