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Waves on fractal-like manifolds and effective energy propagation |
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| Authors: | Shigeo Kusuoka Xian Yin Zhou |
| Affiliation: | (1) Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153, Japan,, JP;(2) Department of Mathematics, Beijing Normal University, Beijing 100875, China, CN |
| Abstract: | Summary. We prove that the average speed of effective energy propagation of the waves satisfying long wave length condition in some globally fractal-like manifolds is asymptotically zero. Received: 17 March 1995 / In revised form: 16 September 1997 |
| Keywords: | Mathematics Subject Classification (1991): 35L05 58G99 60J60 73D99 |
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