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We prove the existence of a not homotopically trivial minimal sphere in a 3-manifold with boundary, obtained by deleting an open connected subset from a compact Riemannian oriented 3-manifold with boundary, having trivial second homotopy group.
We prove a logarithmic stability estimate for a parabolic inverse problem concerning the localization of unknown cavities in a thermic conducting medium in , , from a single pair of boundary measurements of temperature and thermal flux.
We prove a logarithmic stability estimate for
a parabolic inverse problem concerning the localization of unknown
cavities in a thermic
conducting medium Ω in , n ≥ 2, from a single
pair of boundary
measurements of temperature and thermal flux.
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