Boundary value problems on a half Sierpiński gasket

DOI10.4171/JFG/1zbMath1294.28010arXiv1304.3522MaRDI QIDQ2444872

Weilin Li, Robert S. Strichartz

Publication date: 11 April 2014

Published in: Journal of Fractal Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.3522

zbMATH Keywords

Sobolev spacesboundary value problemsSierpiński gasketDirichlet to Neumann mapfinite energyfractal Laplaciantrace and extension theorem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractals (28A80)

Related Items (8)

The average trapping time on a half Sierpinski gasket ⋮ A trace theorem for Sobolev spaces on the Sierpinski gasket ⋮ Weak Formulation of the Laplacian on the Full Shift Space ⋮ 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

Cites Work

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• On eigenvalue problems for the random walks on the Sierpinski pre- gaskets
• On a spectral analysis for the Sierpiński gasket.
• Dirichlet forms of fractals and products of random matrices
• Fractal differential equations on the Sierpiński gasket
• Some properties of Laplacians on fractals
• GREEN'S FUNCTIONS ON FRACTALS
• A harmonic calculus on the Sierpinski spaces
• Boundary value problems for harmonic functions on a domain in the Sierpinski gasket
• Exact spectral asymptotics on the Sierpinski gasket

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