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arXiv · 0706.1422

Inverse Conductivity Problem for a Parabolic Equation using a Carlemen Estimate with one Observation

Patricia Gaitan
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Abstract

For the heat equation in a bounded domain we give a stability result for a smooth diffusion coefficient. The key ingredients are a global Carleman-type estimate, a Poincaré-type estimate and an energy estimate with a single observation acting on a part of the boundary.

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Patricia Gaitan. 2007-06-11. Inverse Conductivity Problem for a Parabolic Equation using a Carlemen Estimate with one Observation. https://arxiv.org/abs/0706.1422

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