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In this paper we provide a simple proof of a Carleman estimate for a second-order elliptic operator  P  with Lipschitz leading coefficients. We apply such a Carleman estimate to derive a three-sphere inequality for solutions to equationP  ⁢  u   =  0{Pu=0}   .

A straightforward proof of Carleman estimate for second-order elliptic operator and a three-sphere inequality