Accepted Paper

Inserted: 1 jun 2023
Last Updated: 18 nov 2024

Journal: Math. Nachr.
Year: 2024
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.

Download:

• Preprint