The Liouville property of unbounded fractal layers

DOI10.1080/17476930701589597zbMath1132.31303OpenAlexW2004524868MaRDI QIDQ5457953

Jun Masamune, Maria Rosaria Lancia

Publication date: 10 April 2008

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930701589597

zbMATH Keywords

Dirichlet formsessential self-adjointnessLiouville propertystochastic completenessenergy formsSierpiński Gasket

Mathematics Subject Classification ID

Dirichlet forms (31C25) Probabilistic potential theory (60J45) Fractals (28A80)

Cites Work

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• Brownian motion on the Sierpinski gasket
• Spectral analysis on infinite Sierpiński gaskets
• Sobolev inequalities on homogeneous spaces
• A Saint-Venant type principle for Dirichlet forms on discontinuous media
• Analysis on local Dirichlet spaces. I. Recurrence, conservativeness and Lp-Liouville properties.
• Essential Self-Adjointness of a Sublaplacian via Heat Equation
• Manifolds and graphs with slow heat kernel decay

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