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THE DISTRIBUTION OF EIGENFREQUENCIES OF ANISOTROPIC FRACTAL DRUMS
Published online by Cambridge University Press: 01 August 1999
Abstract
Let Γ be an anisotropic fractal. The aim of the paper is to investigate the distribution of the eigenvalues of the fractal differential operator
formula here
acting in the classical Sobolev space W˚12(Ω) where Ω is a bounded C∞ domain in the plane ℝ2 with Γ⊂Ω. Here −Δ is the Dirichlet Laplacian in Ω and trΓ is closely related to the trace operator trΓ.
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- The London Mathematical Society 1999
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