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On the Variation of a Functional when the Boundary of the Domain is not Fixed

โœ Scribed by Leonid A. Dickey


Publisher
Springer
Year
2007
Tongue
English
Weight
102 KB
Volume
83
Category
Article
ISSN
0377-9017

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We consider the analog of the Laplacian on the Sierpinski gasket and related fractals, constructed by Kigami. A function f is said to belong to the domain of 2 if f is continuous and 2f is defined as a continuous function. We show that if f is a nonconstant function in the domain of 2, then f 2 is n