The Distribution of Eigenfrequencies of Anisotropic Fractal Drums

DOI10.1112/S002461079900770XzbMath0940.46018WikidataQ114008997 ScholiaQ114008997MaRDI QIDQ3839903

Walter Farkas, Hans Triebel

Publication date: 10 September 1998

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Sobolev spaceDirichlet Laplacianentropy numbersdistribution of eigenvaluesfractal differential operatorregular anisotropic fractalstrace operator \(\text{tr}_\Gamma\)

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Estimates of eigenvalues in context of PDEs (35P15)

Related Items (5)

Atomic decompositions of function spaces with Muckenhoupt weights, and some relation to fractal analysis ⋮ Eigenvalue distribution of some fractal semi-elliptic differential operators: Combinatorial approach ⋮ On some dimension problems for self-affine fractals ⋮ Eigenvalue distribution of semi-elliptic operators in anisotropic Sobolev spaces ⋮ Spectral dimensions of Kreĭn-Feller operators and \(L^q\)-spectra

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