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.
Origine | Fichiers produits par l'(les) auteur(s) |
---|