Singular SPDEs with the Cauchy-Riemann operator on a torus

Zdzisław Brzeźniak, Mikhail Neklyudov, Evelina Shamarova

We prove the existence of solution to the following ${\mathbb{C}}^3$-valued singular SPDE on the 2D torus ${\mathbb{T}}^2$: \begin{align} \label{CR} \partial_{\bar z} r = r \times \ove…