Unique continuation for operatorswith partially analytic coefficients

Abstract

A general unique continuation result for partial differential operators with partially analytic coefficients was obtained in Tataru (1995); however, certain technical assumptions were used there. A part of these assumptions were elliminated independently by Hörmander (1985), and Robbiano and Zuily (preprint). The aim of this note is to remove the remaining technical restriction and, at the same time, to provide a simple proof for the entire result.