Published Paper

Inserted: 1 jun 2023
Last Updated: 2 apr 2025

Journal: Math. Nachr.
Volume: 298
Pages: 312-327
Year: 2025
Doi: 10.1002/mana.202300346

Abstract:

In this note we show that $\mathrm{SBV}$ functions with jump normal lying in a prescribed set of directions $\mathcal N$ can be approximated by sequences of $\mathrm{SBV}$ functions whose jump set is essentially closed, polyhedral, and preserves the orthogonality to $\mathcal N$, moreover the functions are smooth away from their jump set.

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