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Waves on fractal-like manifolds and effective energy propagation
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  • Published: May 1998

Waves on fractal-like manifolds and effective energy propagation

  • Shigeo Kusuoka1 &
  • Xian Yin Zhou2 

Probability Theory and Related Fields volume 110, pages 473–495 (1998)Cite this article

  • 109 Accesses

  • 9 Citations

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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.

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Authors and Affiliations

  1.  Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153, Japan,, , , , , , JP

    Shigeo Kusuoka

  2.  Department of Mathematics, Beijing Normal University, Beijing 100875, China, , , , , , CN

    Xian Yin Zhou

Authors
  1. Shigeo Kusuoka
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  2. Xian Yin Zhou
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Additional information

Received: 17 March 1995 / In revised form: 16 September 1997

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Kusuoka, S., Zhou, X. Waves on fractal-like manifolds and effective energy propagation. Probab Theory Relat Fields 110, 473–495 (1998). https://doi.org/10.1007/s004400050156

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  • Issue Date: May 1998

  • DOI: https://doi.org/10.1007/s004400050156

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  • Mathematics Subject Classification (1991): 35L05
  • 58G99
  • 60J60
  • 73D99
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