Francini, ElisaElisaFranciniVessella, SergioSergioVessellaJENN-NAN WANG2022-12-192022-12-192022-01-011664039Xhttps://scholars.lib.ntu.edu.tw/handle/123456789/626581In this paper, we derive a local Carleman estimate for the complex second order elliptic operator with Lipschitz coefficients having jump discontinuities. Combing the result by M. Bellassoued and J. Le Rousseau (2018) and the arguments by M. Di Cristo, E. Francini, C.-L. Lin, S. Vessella, and J.-N. Wang (2017), we present an elementary method to derive the Carleman estimate under the optimal regularity assumption on the coefficients.Carleman estimates | Complex second order elliptic operators | discontinuous Lipschitz coefficients | transmission conditionsjournal article10.4171/JST/4102-s2.0-85140268014https://api.elsevier.com/content/abstract/scopus_id/85140268014