The behaviour of the eigenvalues for a class of operators related to some self-affine fractals in \(\mathbb{R}^2\).

DOI10.4171/ZAA/920zbMath1157.35442MaRDI QIDQ1969388

Walter Farkas

Publication date: 16 March 2000

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55167

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 (2)

Eigenvalue distribution of some fractal semi-elliptic differential operators: Combinatorial approach ⋮ Eigenvalue distribution of semi-elliptic operators in anisotropic Sobolev spaces

Cites Work

• A discrete transform and decompositions of distribution spaces
• Anisotropic function spaces. I: Hardy's inequality, decompositions
• Entropy numbers, s-numbers, and eigenvalue problems
• On some dimension problems for self-affine fractals
• The eigenvalue behaviour for the boundary value problems related to self- similar measures on \(\mathbb{R}^ d\)
• The Hausdorff dimension of general Sierpiński carpets
• A Fourier analytical characterization of the Hausdorff dimension of a closed set and of related Lebesgue spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The behaviour of the eigenvalues for a class of operators related to some self-affine fractals in \(\mathbb{R}^2\).