Global Well-Posedness of the Landau-Lifshitz-Gilbert equation for initial data in Morrey space

Junyu Lin, Baishun Lai, Changyou Wang

We establish the global well-posedness of the Landau-Lifshitz-Gilbert equation in ${\mathbb{R}}^n$ for any initial data ${\mathbf{m}}_0\in H_{\ast }^1({\mathbb{R}}^n,{\mathbb{S}}^2)$ whose gradient be…