Uniform decay of the solution to a wave equation with memory conditions on the boundary
A wave equation with variable coefficients in principal part and memory conditions on the boundary is considered. The Riemannian geometry method is applied to prove the exponential decay of the energy provided the relaxation function also decays exponentially.
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| Veröffentlicht in: | Nonlinear analysis 2010-10, Vol.73 (7), p.2213-2220 |
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| container_issue | 7 |
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| container_title | Nonlinear analysis |
| container_volume | 73 |
| creator | Wu, Jieqiong Li, Shengjia Chai, Shugen |
| description | A wave equation with variable coefficients in principal part and memory conditions on the boundary is considered. The Riemannian geometry method is applied to prove the exponential decay of the energy provided the relaxation function also decays exponentially. |
| doi_str_mv | 10.1016/j.na.2010.05.050 |
| format | Article |
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| ispartof | Nonlinear analysis, 2010-10, Vol.73 (7), p.2213-2220 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Boundaries Boundary memory conditions Decay Exact sciences and technology Mathematical analysis Mathematics Nonlinearity Partial differential equations Riemannian geometry method Sciences and techniques of general use Variable coefficients Wave equations |
| title | Uniform decay of the solution to a wave equation with memory conditions on the boundary |
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