Gradients of Laplacian eigenfunctions on the Sierpinski gasket
From MaRDI portal
Publication:3605005
DOI10.1090/S0002-9939-08-09711-6zbMath1167.28004arXiv0711.2269MaRDI QIDQ3605005
Robert S. Strichartz, Luke G. Rogers, Jessica L. Degrado
Publication date: 25 February 2009
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0711.2269
Other functions coming from differential, difference and integral equations (33E30) Fractals (28A80)
Related Items (13)
Sobolev spaces on p.c.f. self-similar sets. II: Boundary behavior and interpolation theorems ⋮ EIGENVALUES OF LAPLACIANS ON HIGHER DIMENSIONAL VICSEK SET GRAPHS ⋮ Spectral analysis on infinite Sierpiński fractafolds ⋮ Magnetic Laplacians of locally exact forms on the Sierpinski gasket ⋮ Some properties of the derivatives on Sierpinski gasket type fractals ⋮ Fourier Series for Fractals in Two Dimensions ⋮ The ``hot spots conjecture for the Sierpiński gasket ⋮ Wave equation on one-dimensional fractals with spectral decimation and the complex dynamics of polynomials ⋮ The resolvent kernel for PCF self-similar fractals ⋮ Expansion in generalized eigenfunctions for Laplacians on graphs and metric measure spaces ⋮ Spectral analysis beyond \(\ell^2\) on Sierpinski lattices ⋮ Higher order Laplacians on p.c.f. fractals with three boundary points and dihedral symmetry ⋮ Restrictions of Laplacian eigenfunctions to edges in the Sierpinski gasket
Cites Work
- Unnamed Item
- Unnamed Item
- On a spectral analysis for the Sierpiński gasket.
- Self-similarity, operators and dynamics
- Taylor approximations on Sierpinski gasket type fractals
- Gradients on fractals
- Calculus on the Sierpinski gasket. I: Polynomials, exponentials and power series
- The resolvent kernel for PCF self-similar fractals
- Generalized Eigenfunctions and a Borel Theorem on the Sierpinski Gasket
This page was built for publication: Gradients of Laplacian eigenfunctions on the Sierpinski gasket
