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These Notes are intended for graduate or undergraduate students who havefamiliarity with Lebesgue measure theory, partial differential equations, andfunctional analysis. The main topics covered in this work are the study of theCauchy problem and unique continuation properties associated with partialdifferential equations. The primary objective is to familiarize students withstability estimates in inverse problems and quantitative estimates of uniquecontinuation. The treatment is presented in a self-contained manner.

Notes on unique continuation properties for Partial Differential Equations -- Introduction to the stability estimates for inverse problems