Sharp upper bounds for a singular perturbation problem related to micromagnetics
Arkady Poliakovsky (2007)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
We construct an upper bound for the following family of functionals , which arises in the study of micromagnetics: Here is a bounded domain in , (corresponding to the magnetization) and , the demagnetizing field created by , is given by where is the extension of by in . Our upper bound coincides with the lower bound obtained by Rivière and Serfaty.