On local existence of solutions for nonlinear systems of Cauchy-Riemann operator of any order in the plane

Abstract

We prove a general local existence theorem for nonlinear systems of Cauchy-Riemann operator of any order in one complex variable with initial values at a given point, which is a counterpart of local existence of ODE.

arXiv commentarXiv admin note: substantial text overlap with arXiv:1109.3325