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

13 Jan 2020 Francini E. Vessella S. Wang J. -N.

In this paper, we derive a local Carleman estimate for the complex second order elliptic operator with Lipschitz coefficients having jump discontinuities. Combing the result in [BL] and the arguments in [DcFLVW], we present an elementary method to derive the Carleman estimate under the optimal regularity assumption on the coefficients...

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