no code implementations • 18 Jan 2021 • Francesca Da Lio, Katarzyna Mazowiecka, Armin Schikorra, LiFeng Wang
We prove that for antisymmetric vectorfield $\Omega$ with small $L^2$-norm there exists a gauge $A \in L^\infty \cap \dot{W}^{1/2, 2}(\mathbb{R}^1, GL(N))$ such that ${\rm div}_{\frac12} (A\Omega - d_{\frac{1}{2}} A) = 0$.
Analysis of PDEs