Global dissipative half-harmonic flows into spheres: small data in critical Sobolev spaces
Analysis of PDEs
2018-06-19 v1
Abstract
We establish global existence, uniqueness, regularity and long-time asymptotics of strong solutions to the half-harmonic heat flow and dissipative Landau-Lifshitz equation, valid for initial data that is small in the homogeneous Sobolev norm for space dimensions .
Cite
@article{arxiv.1806.06818,
title = {Global dissipative half-harmonic flows into spheres: small data in critical Sobolev spaces},
author = {Christof Melcher and Zisis N. Sakellaris},
journal= {arXiv preprint arXiv:1806.06818},
year = {2018}
}