Regularity of domain walls in magnetic nanowires
Katharina Kühn · 2007
This paper investigates regularity properties of energy minimising 180 degree domain walls in magnetic nanowires. For small radii we prove uniform bounds in C . Uniform bounds imply convergence in strong norms and are important for the step from statics to dynamics. First we show the convergence of minimisers in H and a bound on the rate of convergence of the minimal energies. Then we use the notion of almost minimisers to prove C estimates and the Morrey-Campanato approach to get uniform C estimates.