Calculus of Variations and Geometric Measure Theory

D. Mucci

Functions of bounded variation in trace spaces

created by mucci on 14 Jun 2025

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Submitted Paper

Inserted: 14 jun 2025
Last Updated: 14 jun 2025

Year: 2025

Abstract:

For vector-valued maps in Sobolev-Slobodeckij trace spaces, we prove a necessary and sufficient condition for membership in the class of functions of bounded variation

Keywords: functions of bounded variation, currents, Approximate differentiability, Sobolev-Slobodeckij trace spaces


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