Strong Solutions and Global Attractors for Kirchhoff Type Equation
We study the long-time behavior of the Kirchhoff type equation with linear damping. We prove the existence of strong solution and the semigroup associated with the solution possesses a global attractor in the higher phase space.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2018-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2018/9349625 |
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doaj-f77f79c1bf494137980bf5082a5314ca2020-11-24T21:35:38ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472018-01-01201810.1155/2018/93496259349625Strong Solutions and Global Attractors for Kirchhoff Type EquationXiangping Chen0Department of Mathematics, Jining University, Qufu, Shandong 273155, ChinaWe study the long-time behavior of the Kirchhoff type equation with linear damping. We prove the existence of strong solution and the semigroup associated with the solution possesses a global attractor in the higher phase space.http://dx.doi.org/10.1155/2018/9349625 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Xiangping Chen |
| spellingShingle |
Xiangping Chen Strong Solutions and Global Attractors for Kirchhoff Type Equation Mathematical Problems in Engineering |
| author_facet |
Xiangping Chen |
| author_sort |
Xiangping Chen |
| title |
Strong Solutions and Global Attractors for Kirchhoff Type Equation |
| title_short |
Strong Solutions and Global Attractors for Kirchhoff Type Equation |
| title_full |
Strong Solutions and Global Attractors for Kirchhoff Type Equation |
| title_fullStr |
Strong Solutions and Global Attractors for Kirchhoff Type Equation |
| title_full_unstemmed |
Strong Solutions and Global Attractors for Kirchhoff Type Equation |
| title_sort |
strong solutions and global attractors for kirchhoff type equation |
| publisher |
Hindawi Limited |
| series |
Mathematical Problems in Engineering |
| issn |
1024-123X 1563-5147 |
| publishDate |
2018-01-01 |
| description |
We study the long-time behavior of the Kirchhoff type equation with linear damping. We prove the existence of strong solution and the semigroup associated with the solution possesses a global attractor in the higher phase space. |
| url |
http://dx.doi.org/10.1155/2018/9349625 |
| work_keys_str_mv |
AT xiangpingchen strongsolutionsandglobalattractorsforkirchhofftypeequation |
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