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In this paper, we derive a local Carleman estimate for the complex secondorder elliptic operator with Lipschitz coefficients having jumpdiscontinuities. Combing the result in [BL] and the arguments in [DcFLVW], wepresent an elementary method to derive the Carleman estimate under the optimalregularity assumption on the coefficients.

Carleman estimate for complex second order elliptic operators with discontinuous Lipschitz coefficients