Determining the waveguide conductivity in a hyperbolic equation from a single measurement on the lateral boundary

Authors :: Eric Soccorsi
Michel Cristofol
Shumin Li
Institut de Mathématiques de Marseille (I2M)
Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)
School of Mathematical Sciences
University of Science and Technology of China [Hefei] (USTC)
CPT - E8 Dynamique quantique et analyse spectrale
Centre de Physique Théorique - UMR 7332 (CPT)
Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
Source :: Mathematical Control and Related Fields, Mathematical Control and Related Fields, AIMS, 2016, 6 (3), pp.407-427. ⟨10.3934/mcrf.2016009⟩, Mathematical Control and Related Fields, 2016, 6 (3), pp.407-427. ⟨10.3934/mcrf.2016009⟩
Publication Year :: 2016
Publisher :: HAL CCSD, 2016.
Abstract: International audience; We consider the multidimensional inverse problem of determining the conductivity coefficient of a hyperbolic equation in an infinite cylindrical domain, from a single boundary observation of the solution. We prove Hölder stability with the aid of a Carleman estimate specifically designed for hyperbolic waveguides.

Language :: English
ISSN :: 21568472 and 21568499
Database :: OpenAIRE
Journal :: Mathematical Control and Related Fields, Mathematical Control and Related Fields, AIMS, 2016, 6 (3), pp.407-427. ⟨10.3934/mcrf.2016009⟩, Mathematical Control and Related Fields, 2016, 6 (3), pp.407-427. ⟨10.3934/mcrf.2016009⟩
Accession number :: edsair.doi.dedup.....1f96ca52e1bad29b5607ba4c39cac001
Full Text :: https://doi.org/10.3934/mcrf.2016009⟩

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