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Author: Hu, Guanghui × Subject: elliptic equations ×

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    Single logarithmic conditional stability in determining unknown boundaries
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2016) Elschner, Johannes; Hu, Guanghui; Yamamoto, Masahiro
    We prove a conditional stability estimate of log-type for determining unknown boundaries from a single Cauchy data taken on an accessible subboundary. Our approach relies on new interior and boundary estimates derived from the Carleman estimate for elliptic equations. A local stability result for target identification of an acoustic sound-soft scatterer from a single far-field pattern is also obtained.