3 problems

Let $u\in\dot H^{1/2}(\mathbb{R};\mathbb{S})$ be a half-harmonic map of degree $d>0$, and let $\psi_{\vartheta,\vec{\alpha}}$ denote a degree-$d$ half-harmonic map. Quantitative st…

A half-harmonic map is a map $u:\mathbb{R}\to\mathbb{S}$ solving the half-harmonic map equation, and its heat flow is the corresponding half-harmonic map heat evolution. Sire's con…

A half-harmonic map flow is a flow of maps into a target manifold governed by the half-harmonic map equation; here the target is the circle $\mathbb{S}^1$ and the domain is…