The Distribution of Eigenfrequencies of Anisotropic Fractal Drums | Zendy

Farkas Walter | Zendy; Triebel Hans | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

The Distribution of Eigenfrequencies of Anisotropic Fractal Drums

Author(s) -

Farkas Walter,

Triebel Hans

Publication year - 1999

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/s002461079900770x

Subject(s) - fractal , laplace operator , mathematics , mathematical analysis , sobolev space , bounded function , distribution (mathematics) , eigenvalues and eigenvectors , dirichlet distribution , trace operator , anisotropy , multifractal system , fractal derivative , operator (biology) , domain (mathematical analysis) , differential operator , geometry , pure mathematics , physics , boundary (topology) , fractal dimension , boundary value problem , fractal analysis , elliptic boundary value problem , quantum mechanics , biochemistry , chemistry , repressor , transcription factor , gene , free boundary problem

Let Γ be an anisotropic fractal. The aim of the paper is to investigate the distribution of the eigenvalues of the fractal differential operator (−Δ) −1 o tr Γ acting in the classical Sobolev spaceW ^ 2 1 ( Ω )where Ω is a bounded C ∞ domain in the plane R 2 with Γ⊂Ω. Here −Δ is the Dirichlet Laplacian in Ω and tr Γ is closely related to the trace operator tr Γ .

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research