Propagation of smallness and size estimate in the second order elliptic equation with discontinuous complex Lipschitz conductivity (2007.01094v1)

Published 2 Jul 2020 in math.AP

Abstract: In this paper, we would like to derive three-ball inequalities and propagation of smallness for the complex second order elliptic equation with discontinuous Lipschitz coefficients. As an application of such estimates, we study the size estimate problem by one pair of Cauchy data on the boundary. The main ingredient in the derivation of three-ball inequalities and propagation of smallness is a local Carleman proved in our paper [FVW].

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