Weyl's asymptotic formula for fractal Laplacians defined by a class of self-similar measures with overlaps

DOI10.1007/s10476-023-0222-6OpenAlexW4379879817MaRDI QIDQ6111833

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Publication date: 4 August 2023

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-023-0222-6

zbMATH Keywords

Laplacianspectral dimensionfractalself-similarmeasure with overlaps

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Eigenvalue problems for linear operators (47A75) Measures on groups and semigroups, etc. (43A05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fractals (28A80)

Related Items (1)

Estimates for negative eigenvalues of Schrödinger operators on unbounded fractal spaces

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