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arXiv · 1806.06818

Global dissipative half-harmonic flows into spheres: small data in critical Sobolev spaces

Christof Melcher·Zisis N. Sakellaris
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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 $\dot{H}^{\frac n 2}$ for space dimensions $n \le 3$.

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Christof Melcher, Zisis N. Sakellaris. 2018-06-18. Global dissipative half-harmonic flows into spheres: small data in critical Sobolev spaces. https://arxiv.org/abs/1806.06818

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