Relaxed area of 0-homogeneous maps in the strict BV-convergence.

Autor: Carano, Simone
Zdroj: Annali di Matematica Pura ed Applicata; Oct2024, Vol. 203 Issue 5, p2057-2074, 18p
Abstrakt: We compute the relaxed Cartesian area for a general 0-homogeneous map of bounded variation, with respect to the strict BV-convergence. In particular, we show that the relaxed area is finite for this class of maps and we provide an integral representation formula. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index