New global logarithmic stability of the Cauchy problem for elliptic equations

Mourad Choulli

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arXiv · 1903.01136

New global logarithmic stability of the Cauchy problem for elliptic equations

Mourad Choulli

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Abstract

In this short paper we prove a global logarithmic stability of the Cauchy problem for H 2-solutions of an anisotropic elliptic equation in a Lip-schitz domain. The result we obtained is based on tools borrowed from the existing technics to establish stability estimate for the Cauchy problem [4] (see also [1]) combined with tools we already used in [6] to study an inverse medium problem.

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Mourad Choulli. 2019-03-04. New global logarithmic stability of the Cauchy problem for elliptic equations. https://arxiv.org/abs/1903.01136

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