Séminaire CIRGET: «Global counterexamples to uniqueness for a Calderón problem with smooth conductivities»

Conférencier: François Nicoleau, Nantes

Résumé: Let  $\Omega \subset \R^n$, $n \geq 3$, be a fixed smooth bounded domain, and let $\gamma$ be a smooth conductivity in $\overline{\Omega}$. Consider a non-zero frequency$\lambda_0$ which does not belong to the Dirichlet spectrum of $L_\gamma = -{\rm div} (\gamma \nabla \cdot)$. Then, there exists an infinite number of pairs of smooth non-isometric conductivities $(\gamma_1, \gamma_2)$ on $\overline{\Omega}$, which are close to $\gamma$  and such that the associated DN maps at frequency $\lambda_0$  are identical.

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vendredi 2 mai 2025
11 h à 12 h

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UQAM - Pavillon Président-Kennedy (PK)
PK-5115
201, avenue du Président-Kennedy
Montréal (QC)

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