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http://dx.doi.org/10.4134/BKMS.2015.52.5.1753

A REMARK ON UNIQUE CONTINUATION FOR THE CAUCHY-RIEMANN OPERATOR  

SEO, IHYEOK (DEPARTMENT OF MATHEMATICS SUNGKYUNKWAN UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.52, no.5, 2015 , pp. 1753-1757 More about this Journal
Abstract
In this note we obtain a unique continuation result for the differential inequality ${\mid}\bar{\partial}u{\mid}{\leq}{\mid}Vu{\mid}$, where $\bar{\partial}=(i{\partial}_y+{\partial}_x)/2$ denotes the Cauchy-Riemann operator and V (x, y) is a function in $L^2(\mathbb{R}^2)$.
Keywords
unique continuation; Cauchy-Riemann operator;
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