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Total energy decay for the wave equation in exterior domains with a dissipation near infinity |
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| Authors: | Kiyoshi Mochizuki |
| Institution: | a Department of Mathematics, Faculty of Science and Engineering, Chuo University, Bunkyo-ku, Tokyo 112-8551, Japan b Graduate School of Mathematics, Kyushu University, Ropponmatsu, Fukuoka 810-8560, Japan |
| Abstract: | We show that the energy of solutions to the initial boundary value problem for the wave equation in exterior domains with a dissipation which is localized only near infinity tends to zero as the time goes to infinity. We do not make any geometrical condition like star-shapedness on the boundary. |
| Keywords: | Energy decay Wave equations Exterior domains Dissipation |
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