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arXiv · 2105.05025

Uniqueness and Regularity of the Fractional Harmonic Gradient Flow in $S^{n-1}$

Jerome Wettstein
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Abstract

In this paper, we study the fractional harmonic gradient flow on $S^1$ taking values in $S^{n-1} \subset \mathbb{R}^n$ for every $n \geq 2$, in particular addressing uniqueness and regularity of solutions in the so-called energy class with sufficiently small energy, adding to the existing body of knowledge which includes existence of solutions and certain bubbling phenomena.

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Jerome Wettstein. 2021-05-11. Uniqueness and Regularity of the Fractional Harmonic Gradient Flow in $S^{n-1}$. https://doi.org/10.1016/j.na.2021.112592

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