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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.
2019
2019
Capacities and 1-strict subsets in metric spaces
2017
2017
Seeding Dispersal Modeling For Systems of Planar Microbial Biofilms
We propose a modeling approach to study how mature biofilms spread and colonize new surfaces by predicting the formation and… 
Review
2014
Review
2014
Conservation Law Models of Granular Flow
2014 International Conference on Nonlinear Evolutionary Partial Differential Equations--Theories and Applications 17 Conservation… 
2011
2011
Local simplicity , topology , and sets of finite perimeter
We introduce a useful and relatively easy to check condition, local simplicity, which provides significantly more structure to… 
2010
2010
An SL(2) Invariant Shape Median
Median averaging is a powerful averaging concept on sets of vector data in finite dimensions. A generalization of the median for… 
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… 
2001
2001
Decomposition and integral representation of Cauchy interactions associated with measures
Cauchy interactions between subbodies of a continuous body are introduced in the framework of Measure Theory, extending the class… 
2000
2000
Blow-up of oriented boundaries
Blow-up techniques are used in Analysis and Geometry to investigate local properties of various mathematical objects, by means of… 
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