Calculus of Variations and Geometric Measure Theory
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Sets with finite perimeter in Wiener spaces, perimeter measure and boundary rectifiability

Accepted Paper
(2010)

Authors: Luigi Ambrosio - Michele Miranda Jr - Diego Pallara
Keywords: Wiener space, Sets of finite perimeter, BV functions, Rectifiability
Abstract: We discuss some recent developments of the theory of BV functions and sets of finite perimeter in infinite-dimensional Gaussian spaces. In this context the concepts of Hausdorff measure, approximate continuity, rectifiability have to be properly understood. After recalling the known facts, we prove a Sobolev-rectifiability result and we list some open problems.[PS][PDF]

[BibTeX Entry]

Available Files:

bvrect.pdf

abstract.tex (abstract.ps, abstract.pdf)

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