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

E. Francini; S. Vessella; J. -N. Wang

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arXiv · 2001.04071

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

E. Francini·S. Vessella·J. -N. Wang

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Abstract

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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E. Francini, S. Vessella, J. -N. Wang. 2020-01-13. Carleman estimate for complex second order elliptic operators with discontinuous Lipschitz coefficients. https://arxiv.org/abs/2001.04071

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