Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals

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Publication:1313282

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DOI10.1007/BF02097233zbMath0806.35130MaRDI QIDQ1313282

Michel L. Lapidus, Jun Kigami

Publication date: 13 February 1995

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Sierpinski gaskets finitely ramified selfsimilar fractal sets Hata tree-like set Lindstrøm set scaling properties of the eigenvalue counting function

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fractals (28A80)

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