On Gauss-Green theorem and boundaries of a class of Hölder domains

The purpose of this paper is to show that, if α > 1/3 and ε > 0, the boundary of an α-Hölder domain is a 1 α + ε geometric rough path; and as a direct application, we extend the classical Green-Gauss' formula to this class of fractal domains. © 2005 Elsevier SAS. All rights reserv...

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Bibliographic Details
Main Authors: Lyons, T, Yam, P
Format: Journal article
Language:English
Published: Elsevier 2006