Energy decay of a variable-coefficient wave equation with nonlinear time-dependent localized damping
We study the energy decay for the Cauchy problem of the wave equation with nonlinear time-dependent and space-dependent damping. The damping is localized in a bounded domain and near infinity, and the principal part of the wave equation has a variable-coefficient. We apply the multiplier method...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Texas State University
2015-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/226/abstr.html |
| _version_ | 1817991533352189952 |
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| author | Jieqiong Wu Fei Feng Shugen Chai |
| author_facet | Jieqiong Wu Fei Feng Shugen Chai |
| author_sort | Jieqiong Wu |
| collection | DOAJ |
| description | We study the energy decay for the Cauchy problem of the wave equation with
nonlinear time-dependent and space-dependent damping.
The damping is localized in a bounded domain and near infinity, and
the principal part of the wave equation has a variable-coefficient.
We apply the multiplier method for variable-coefficient equations, and
obtain an energy decay that depends on the property of the coefficient
of the damping term. |
| first_indexed | 2024-04-14T01:14:36Z |
| format | Article |
| id | doaj.art-01bc9d83b46a4f568c61346cf3e0d548 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-14T01:14:36Z |
| publishDate | 2015-09-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-01bc9d83b46a4f568c61346cf3e0d5482022-12-22T02:20:55ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-09-012015226,111Energy decay of a variable-coefficient wave equation with nonlinear time-dependent localized dampingJieqiong Wu0Fei Feng1Shugen Chai2 Shanxi Univ., Taiyuan, China Shanxi Univ., Taiyuan, China Shanxi Univ., Taiyuan, China We study the energy decay for the Cauchy problem of the wave equation with nonlinear time-dependent and space-dependent damping. The damping is localized in a bounded domain and near infinity, and the principal part of the wave equation has a variable-coefficient. We apply the multiplier method for variable-coefficient equations, and obtain an energy decay that depends on the property of the coefficient of the damping term.http://ejde.math.txstate.edu/Volumes/2015/226/abstr.htmlEnergy decaytime-dependent and space-dependent dampinglocalized dampingRiemannian geometry methodvariable coefficient |
| spellingShingle | Jieqiong Wu Fei Feng Shugen Chai Energy decay of a variable-coefficient wave equation with nonlinear time-dependent localized damping Electronic Journal of Differential Equations Energy decay time-dependent and space-dependent damping localized damping Riemannian geometry method variable coefficient |
| title | Energy decay of a variable-coefficient wave equation with nonlinear time-dependent localized damping |
| title_full | Energy decay of a variable-coefficient wave equation with nonlinear time-dependent localized damping |
| title_fullStr | Energy decay of a variable-coefficient wave equation with nonlinear time-dependent localized damping |
| title_full_unstemmed | Energy decay of a variable-coefficient wave equation with nonlinear time-dependent localized damping |
| title_short | Energy decay of a variable-coefficient wave equation with nonlinear time-dependent localized damping |
| title_sort | energy decay of a variable coefficient wave equation with nonlinear time dependent localized damping |
| topic | Energy decay time-dependent and space-dependent damping localized damping Riemannian geometry method variable coefficient |
| url | http://ejde.math.txstate.edu/Volumes/2015/226/abstr.html |
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