Calculus of Variations and Geometric Measure Theory
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L. Ambrosio - M. Miranda Jr - D. Pallara

Sets with finite perimeter in Wiener spaces, perimeter measure and boundary rectifiability

created by ambrosio on 27 Jan 2010
modified by miranda on 16 Nov 2012


Published Paper

Inserted: 27 jan 2010
Last Updated: 16 nov 2012

Journal: Discrete Contin. Dyn. Sys.
Year: 2010


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.

Keywords: Sets of finite perimeter, Rectifiability, BV functions, Wiener space


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