Masahiro Yamamoto – seminaire GOMS

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Date/heure
Date(s) - 14 mars 2012

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“Recent uniqueness results by Cauchy data on arbitrary subboundary for 2-dimensional elliptic equations” Abstract: I will present our recent results on the uniqueness in determining coefficients in 2-dimensional elliptic equations by all the set of Cauchy data with Dirichlet data supported on arbitrary subboundary $\Gamma$ and Neumann data on $\Gamma$. Classical Dirichlet-to-Neumann map corresponds to a special case where $\Gamma$ is the whole boundary, and our results are the best possible uniqueness results within some smoothness assumptions.