Hostname: page-component-669899f699-ggqkh Total loading time: 0 Render date: 2025-04-24T20:59:43.474Z Has data issue: false hasContentIssue false
  • English
  • Français

THE DISTRIBUTION OF EIGENFREQUENCIES OF ANISOTROPIC FRACTAL DRUMS

Published online by Cambridge University Press:  01 August 1999

WALTER FARKAS  and
HANS TRIEBEL
WALTER FARKAS
Affiliation:
Bucharest University, Faculty of Mathematics, 14. Academiei Str., RO-70109 Bucharest, Romania Current address: Institut für Theoretische Informatik und Mathematik, Universität der Bundeswehr, Werner-Heisenberg-Weg 39, D-85 577 Neubiberg, Germany.
HANS TRIEBEL
Affiliation:
Friedrich Schiller Universität Jena, Mathematisches Institut, Ernst-Abbe-Platz 1–4, D-07740 Jena, Germany
Get access

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.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 60 , Issue 1 , August 1999 , pp. 224 - 236
Copyright
The London Mathematical Society 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable