Magnetic BV functions and the Bourgain-Brezis-Mironescu formula

2016/09/30 by Pinamonti, Andrea, Squassina, Marco, Vecchi, Eugenio · 1 citation
#26A33 #49A50 #82D99 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1609.09714

Abstract

We prove a general magnetic Bourgain-Brezis-Mironescu formula. In particular, after developing a theory of magnetic bounded variation functions, we prove the validity of the formula in this class.

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