Eigenfrequencies of isotropic fractal drums

by    D.E. Edmunds, H. Triebel

Preprint series: 98-20, Analysis

The paper is published: Oper. Theory Adv. Appl., 110, 81-102, 1999

MSC:
46E35 Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
35P20 Asymptotic distribution of eigenvalues and eigenfunctions for PDO
28A80 Fractals, See also {58Fxx}

Abstract: We study the behaviour of eigenvalues in problems which correspond to the vibrations of a drum, the
whole mass of which is concentrated on a fractal subset of the drum.

Keywords: spectral theory, fractals

Upload: 1999-01-28

Update: 1999-11-12


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