Uniform Decay of Solutions for a Nonlinear Viscoelastic Wave Equation with Boundary Dissipation
We consider a nonlinear viscoelastic wave equation , with nonlinear boundary damping in a bounded domain . Under appropriate assumptions imposed on and with certain initial data, we establish the general decay rate of the solution energy which is not necessarily of exponential or polynomial type. T...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/421847 |
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| _version_ | 1832549227796889600 |
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| author | Shun-Tang Wu Hsueh-Fang Chen |
| author_facet | Shun-Tang Wu Hsueh-Fang Chen |
| author_sort | Shun-Tang Wu |
| collection | DOAJ |
| description | We consider a nonlinear viscoelastic wave equation , with nonlinear boundary damping in a bounded domain . Under appropriate assumptions imposed on and with certain initial data, we establish the general decay rate of the solution energy which is not necessarily of exponential or polynomial type. This work generalizes and improves earlier results in the literature. |
| format | Article |
| id | doaj-art-4b3651e0a0e0467e93ec00a85f7580fa |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-4b3651e0a0e0467e93ec00a85f7580fa2025-02-03T06:11:46ZengWileyJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/421847421847Uniform Decay of Solutions for a Nonlinear Viscoelastic Wave Equation with Boundary DissipationShun-Tang Wu0Hsueh-Fang Chen1General Education Center, National Taipei University of Technology, Taipei 106, TaiwanDepartment of Business Administration, Yu Da University, Miaoli 366, TaiwanWe consider a nonlinear viscoelastic wave equation , with nonlinear boundary damping in a bounded domain . Under appropriate assumptions imposed on and with certain initial data, we establish the general decay rate of the solution energy which is not necessarily of exponential or polynomial type. This work generalizes and improves earlier results in the literature.http://dx.doi.org/10.1155/2012/421847 |
| spellingShingle | Shun-Tang Wu Hsueh-Fang Chen Uniform Decay of Solutions for a Nonlinear Viscoelastic Wave Equation with Boundary Dissipation Journal of Function Spaces and Applications |
| title | Uniform Decay of Solutions for a Nonlinear Viscoelastic Wave Equation with Boundary Dissipation |
| title_full | Uniform Decay of Solutions for a Nonlinear Viscoelastic Wave Equation with Boundary Dissipation |
| title_fullStr | Uniform Decay of Solutions for a Nonlinear Viscoelastic Wave Equation with Boundary Dissipation |
| title_full_unstemmed | Uniform Decay of Solutions for a Nonlinear Viscoelastic Wave Equation with Boundary Dissipation |
| title_short | Uniform Decay of Solutions for a Nonlinear Viscoelastic Wave Equation with Boundary Dissipation |
| title_sort | uniform decay of solutions for a nonlinear viscoelastic wave equation with boundary dissipation |
| url | http://dx.doi.org/10.1155/2012/421847 |
| work_keys_str_mv | AT shuntangwu uniformdecayofsolutionsforanonlinearviscoelasticwaveequationwithboundarydissipation AT hsuehfangchen uniformdecayofsolutionsforanonlinearviscoelasticwaveequationwithboundarydissipation |