Eigenvalue distribution of some fractal semi-elliptic differential operators: Combinatorial approach

DOI10.1007/BF01198143zbMath0983.35096MaRDI QIDQ5943611

K. Naimark, Michael Solomyak

Publication date: 27 September 2001

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

quadratic formanisotropic Sobolev spacesharp order of growth

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Fractals (28A80)

Related Items (3)

On the mathematical work of Mikhail Zakharovich Solomyak ⋮ Spectral asymptotics of Laplacians associated with a class of higher-dimensional graph-directed self-similar measures ^* ⋮ Spectral dimensions of Kreĭn-Feller operators and \(L^q\)-spectra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The eigenvalue behaviour for the boundary value problems related to self- similar measures on \(\mathbb{R}^ d\)
• The behaviour of the eigenvalues for a class of operators related to some self-affine fractals in \(\mathbb{R}^2\).
• The Distribution of Eigenfrequencies of Anisotropic Fractal Drums
• On a Spectral Problem Related to Self-Similar Measures
• Eigenvalue distribution of some fractal semi-elliptic differential operators

This page was built for publication: Eigenvalue distribution of some fractal semi-elliptic differential operators: Combinatorial approach