Counting function asymptotics and the weak Weyl-Berry conjecture for connected domains with fractal boundaries
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Publication:4397387
DOI10.1007/BF02560212zbMath0903.35047WikidataQ123319682 ScholiaQ123319682MaRDI QIDQ4397387
Publication date: 7 July 1998
Published in: Acta Mathematica Sinica (Search for Journal in Brave)
Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (2)
Asymptotic of eigenvalues and lattice points ⋮ On the Pólya conjecture and the weak Weyl-Berry conjecture
Cites Work
- Can one hear the dimension of a fractal?
- Second term of the spectral asymptotic expansion of the Laplace-Beltrami operator on manifolds with boundary
- Dirichlet-Neumann bracketing for horn-shaped regions
- On the spectral counting function for the Dirichlet Laplacian
- A sharp asymptotic remainder estimate for the eigenvalues of the Laplacian in a domain of \(R^3\)
- Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals
- Fractal drums and the \(n\)-dimensional modified Weyl-Berry conjecture
- The Riemann Zeta-Function and the One-Dimensional Weyl-Berry Conjecture for Fractal Drums
- An Estimate Near the Boundary for the Spectral Function of the Laplace Operator
- Fractal Drum, Inverse Spectral Problems for Elliptic Operators and a Partial Resolution of the Weyl-Berry Conjecture
- Some Domains Where the Eigenvalues of the Dirichlet Laplacian Have Non-Power Second Term Asymptotic Estimates
- An Example of a Two-Term Asymptotics for the "Counting Function" of a Fractal Drum
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