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arXiv · 1612.07942

Logarithmic stability inequality in an inverse source problem for the heat equation on a waveguide

Yavar Kian·Diomba Sambou·Eric Soccorsi
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Abstract

We prove logarithmic stability in the parabolic inverse problem of determining the space-varying factor in the source, by a single partial boundary measurement of the solution to the heat equation in an infinite closed waveguide, with homogeneous initial and Dirichlet data.

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Yavar Kian, Diomba Sambou, Eric Soccorsi. 2016-12-23. Logarithmic stability inequality in an inverse source problem for the heat equation on a waveguide. https://arxiv.org/abs/1612.07942

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