Remarks on the energy decay for nonlinear wave equations with nonlinear localized dissipative terms |
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| Authors: | Mitsuhiro Nakao |
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| Institution: | Faculty of Mathematics, Kyushu University, Moto-oka 744, Fukuoka 819-0395, Japan |
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| Abstract: | We derive an energy decay estimate for solutions to the initial-boundary value problem of a semilinear wave equation with a nonlinear localized dissipation. To overcome a difficulty related to derivative-loss mechanism we employ a ‘loan’ method. |
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| Keywords: | 35B35 35L70 |
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