Strong approximation of sets of finite perimeter in metric spaces

In the setting of a metric space equipped with a doubling measure that supports a Poincaré inequality, we show that any set of finite perimeter can be approximated in the BV norm by a set whose topological and measure theoretic boundaries almost coincide. The proof relies on a quasicontinuity-type r...

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Veröffentlicht in:	Manuscripta mathematica 2018-03, Vol.155 (3-4), p.503-522
1. Verfasser:	Lahti, Panu
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebraic Geometry Calculus of Variations and Optimal Control Optimization Geometry Lie Groups Mathematics Mathematics and Statistics Metric space Number Theory Topological Groups
Online-Zugang:	Volltext
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