Boundary value problems for harmonic functions on a domain in the Sierpinski gasket

DOI10.1512/iumj.2012.61.4539zbMath1272.28010OpenAlexW1965307378MaRDI QIDQ4918592

Robert S. Strichartz, Justin I. Owen

Publication date: 25 April 2013

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: http://www.iumj.indiana.edu/IUMJ/ABS/2012/4539

zbMATH Keywords

boundary value problemsSierpinski gasketDirichlet-to-Neumann mapPoisson integral formulaHaar series expansions

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (13)

Hodge-de Rham theory on fractal graphs and fractals ⋮ A trace theorem for Sobolev spaces on the Sierpinski gasket ⋮ Exact spectrum of the Laplacian on a domain in the Sierpinski gasket ⋮ NONLINEAR MEAN-VALUE FORMULAS ON FRACTAL SETS ⋮ ``The Sierpinski gasket minus its bottom line as a tree of Sierpinski gaskets ⋮ MEAN VALUE PROPERTY OF HARMONIC FUNCTION ON THE HIGHER-DIMENSIONAL SIERPINSKI GASKET ⋮ Boundary value problems on a half Sierpiński gasket ⋮ Extensions and their minimizations on the Sierpinski gasket ⋮ Boundary value problems for a family of domains in the Sierpinski gasket ⋮ Boundary value problems on part of a level-\(n\) Sierpinski gasket ⋮ Boundary value problems for harmonic functions on domains in Sierpinski gaskets ⋮ The Dirichlet heat kernel in inner uniform domains in fractal-type spaces ⋮ ON MAX–MIN MEAN VALUE FORMULAS ON THE SIERPINSKI GASKET

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