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A remark on unique continuation for the Cauchy-Riemann operator (1409.1747v5)
Published 5 Sep 2014 in math.AP
Abstract: In this note we obtain a unique continuation result for the differential inequality $|\bar{\partial}u|\leq|Vu|$, where $\bar{\partial}=(i\partial_y+\partial_x)/2$ denotes the Cauchy-Riemann operator and $V(x,y)$ is a function in $L2(\mathbb{R}2)$.