Pré-Publication, Document De Travail Année : 2025

Stability of discontinuous diffusion coefficients for the heat equation on a star-shaped tree

Résumé

In this paper, we study the heat equation on a star-shaped tree network with a piecewise regular diffusion coefficient. By developing new Carleman estimates, we establish stability results for the identification of the diffusion coefficient. These stability estimates are derived using either internal measurements or boundary observations, offering robust insights into the inverse problem for this class of equations.
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Dates et versions

hal-04931176 , version 1 (05-02-2025)

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  • HAL Id : hal-04931176 , version 1

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Emmanuelle Crépeau, Lionel Rosier, Julie Valein. Stability of discontinuous diffusion coefficients for the heat equation on a star-shaped tree. 2025. ⟨hal-04931176⟩
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