The behaviour of the eigenvalues for a class of operators related to some self-affine fractals in \(\mathbb{R}^2\).
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Publication:1969388
DOI10.4171/ZAA/920zbMath1157.35442MaRDI QIDQ1969388
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
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
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