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arXiv · 0904.0296

Stable Determination of the Discontinuous Conductivity Coefficient of a Parabolic Equation

Michele Di Cristo·Sergio Vessella
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Abstract

We deal with the problem of determining a time varying inclusion within a thermal conductor. In particular we study the continuous dependance of the inclusion from the Dirichlet-to-Neumann map. Under a priori regularity assumptions on the unknown defect we establish logarithmic stability estimates.

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Michele Di Cristo, Sergio Vessella. 2009-10-14. Stable Determination of the Discontinuous Conductivity Coefficient of a Parabolic Equation. https://arxiv.org/abs/0904.0296

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