Mean value properties of harmonic functions on Sierpinski gasket type fractals

DOI10.1007/s00041-013-9279-0zbMath1306.28012arXiv1206.1382OpenAlexW2098205578MaRDI QIDQ485182

Robert S. Strichartz, Hua Qiu

Publication date: 9 January 2015

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.1382

zbMATH Keywords

harmonic functionLaplacianSierpinski gasketmean value propertyanalysis on fractals

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Fractals (28A80)

Related Items (9)

Laplacian growth and sandpiles on the Sierpiński gasket: limit shape universality and exact solutions ⋮ Some properties of the derivatives on Sierpinski gasket type fractals ⋮ Mean value property of harmonic functions on the tetrahedral Sierpinski gasket ⋮ Spectrality of Moran-Sierpinski type measures ⋮ NONLINEAR MEAN-VALUE FORMULAS ON FRACTAL SETS ⋮ SCALING PROPERTIES OF FIRST RETURN TIME ON WEIGHTED TRANSFRACTALS (1,3)-FLOWERS ⋮ MEAN VALUE PROPERTY OF HARMONIC FUNCTION ON THE HIGHER-DIMENSIONAL SIERPINSKI GASKET ⋮ Spectrality of Sierpinski-type self-affine measures ⋮ ON MAX–MIN MEAN VALUE FORMULAS ON THE SIERPINSKI GASKET

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The mean value theorem and basic properties of the obstacle problem for divergence form elliptic operators
• Taylor approximations on Sierpinski gasket type fractals
• Harmonic Calculus on P.C.F. Self-Similar Sets
• A harmonic calculus on the Sierpinski spaces

This page was built for publication: Mean value properties of harmonic functions on Sierpinski gasket type fractals