We prove the existence of solution to the following C3-valued singular SPDE on the 2D torus T2:
∂ z ̄ r = r × r + i γ W ,
where ∂z ̄ := 21 (∂x + i∂y) is the Cauchy-Riemann operator on T2, W = (W1, W2, W3) is a real 3D white noise on T2 whose component W3 has zero mean over T2, γ := (γ1,γ2,γ3) is an R3-vector and γW :=(γ1W1,γ2W2,γ3W3).
This talk is based on a joint work with Zdzislaw Brzezniak and Mikhail Neklyudov.
