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Caccioppoli set

Known as: Set of finite perimeter 
In mathematics, a Caccioppoli set is a set whose boundary is measurable and has a (at least locally) finite measure. A synonym is set of (locally… 
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Related topics

Related topics

11 relations
Bounded variationDistribution (mathematics)GradientHausdorff measure

Broader (1)

Calculus of variations

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
A ug 2 01 6 Convergence of the thresholding scheme for multi-phase mean-curvature flow
We consider the thresholding scheme, a time discretization for mean curvature flow introduced by Merriman, Bence and Osher. We… 
2017
2017
Properties of a Hilbertian Norm for Perimeter
A recent paper of Jerison and Figalli proved a relationship between the $H^{1/2}$ norms of smoothed out indicator functions of… 
Review
2014
Review
2014
Conservation Law Models of Granular Flow
2014 International Conference on Nonlinear Evolutionary Partial Differential Equations--Theories and Applications 17 Conservation… 
2013
2013
ON INDECOMPOSABLE SETS WITH APPLICATIONS
In this note we show the characteristic function of every indecomposable set F in the plane is BV equivalent to the… 
2013
2013
Application of Geometric measure Theory in Continuum Mechanics: The Configuration Space, Principle of Virtual Power and Cauchy's Stress Theory for Rough Bodies
In this work, the principles of Homological Integration Theory are applied to the mathematical formulation of continuum mechanics… 
2012
2012
Sets of Finite Perimeter and Geometric Variational Problems: The reverse Poincaré inequality
2009
2009
Tangent Halfspaces to Sets of Finite Perimeter in Carnot Groups
We consider sets of locally finite perimeter in Carnot groups. We show that if E is a set of locally finite perimeter in a Carnot… 
2009
2009
HÖLDER CONDITIONS IN THE DIVERGENCE THEOREM
In the framework of Lebesgue integration and bounded sets of finite perime- ter, we present a straightforward proof of the… 
2006
2006
OPTIMAL SHAPES IN FORCE FIELDS
We study a variational problem involving material shapes, modeled as Radon measures on a given ambient space, in a force vector… 
2003
2003
On some recent developments of the theory of sets of finite perimeter
— In this paper we describe some recent progress on the theory of sets of finite perimeter, currents, and rectifiability in… 
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