The Laplacian on p.c.f. self-similar sets via the method of averages

DOI10.1016/J.CHAOS.2011.05.003zbMath1221.31014OpenAlexW2073092749MaRDI QIDQ634932

Dong-Lei Tang

Publication date: 17 August 2011

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2011.05.003

zbMATH Keywords

harmonic functionsself-similar setssymmetric Laplacian

Mathematics Subject Classification ID

Fractals (28A80) Generalizations of potential theory (31C99)

Related Items (3)

Fractal functions on the Sierpinski gasket ⋮ A system of p-Laplacian equations on the Sierpiński gasket ⋮ FRACTAL INTERPOLATION FUNCTIONS ON AFFINE FRACTAL INTERPOLATION CURVES

Cites Work

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• The Laplacian on the Sierpinski gasket via the method of averages.
• Dirichlet forms on fractals: Poincaré constant and resistance
• Taylor approximations on Sierpinski gasket type fractals
• The Laplacian on the level 3 Sierpinski gasket via the method of averages
• The Laplacian on \(\beta \)-sets via the method of averages
• VIBRATION SPECTRA OF FINITELY RAMIFIED, SYMMETRIC FRACTALS
• Harmonic Calculus on P.C.F. Self-Similar Sets
• A harmonic calculus on the Sierpinski spaces
• Brownian motion on nested fractals
• Conformal energy, conformal Laplacian, and energy measures on the Sierpinski gasket

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