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A trace theorem for the Dirichlet form on the Sierpinski gasket
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2005 (English)In: Mathematische Zeitschrift, ISSN 0025-5874, E-ISSN 1432-1823, Vol. 250, no 3, 599-609 p.Article in journal (Refereed) Published
Abstract [en]

In connection with the theory for Brownian motion on fractals, a corresponding Dirichlet form has been defined. We consider here the fractal known as the Sierpinski gasket, and characterize the trace of the domain of the Dirichlet form to the boundary of the gasket, boundary in this context meaning the triangle which confines the gasket.

Place, publisher, year, edition, pages
New York: Springer, 2005. Vol. 250, no 3, 599-609 p.
Keyword [en]
motion penetrating fractals, Brownian motion, spaces
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-19698DOI: 10.1007/s00209-005-0767-zISI: 000229503100006OAI: oai:DiVA.org:umu-19698DiVA: diva2:202373
Available from: 2009-03-10 Created: 2009-03-10 Last updated: 2017-12-13Bibliographically approved

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