Naslov
On a variational problem related to a model of black and white printing

Autori
Antonić, Nenad ; Balenović, Neven

Izvornik
Communications de la Faculté des sciences de l'Université d'Ankara. Série A 1, Mathématiques (0251-0871) 46 (1997); 1-11

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
young measure; mathematical theory of microstructure; nonattainment of minima

Sažetak
A variational problem, which might be considered as a case of shape optimisation, is studied characterising the existence of minimisers. The problem can be understood as a model for black and white printing on digitalised printers. A direct construction of a minimising sequence is presented, based on measure theoretic tools. Another possible construction, using the relationship between the functional in question and weak $ast$ topology of ${;m L};^infty$, is given as well. The problem has the unique solution in a relaxed sense: every minimising sequence determines the unique Young measure.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA