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UNIQUENESS FOR AN INVERSE PROBLEM FOR A DISSIPATIVE WAVE EQUATION WITH TIME DEPENDENT COEFFICIENT

Abstract : This paper deals with an hyperbolic inverse problem of determining a time-dependent coefficient a appearing in a dissipative wave equation, from boundary observations. We prove in dimension n greater than two, that a can be uniquely determined in a precise subset of the domain, from the knowledge of the Dirichlet-to-Neumann map.
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https://hal.archives-ouvertes.fr/hal-01312954
Contributor : Mourad Bellassoued Connect in order to contact the contributor
Submitted on : Saturday, November 26, 2016 - 3:27:06 PM
Last modification on : Wednesday, October 28, 2020 - 9:52:04 AM
Long-term archiving on: : Monday, March 20, 2017 - 4:42:48 PM

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Mourad Bellassoued, Ibtissem Ben Aicha. UNIQUENESS FOR AN INVERSE PROBLEM FOR A DISSIPATIVE WAVE EQUATION WITH TIME DEPENDENT COEFFICIENT. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2016, Volume 23 - 2016 - Special issue for LEM2I 2016, ⟨10.46298/arima.1497⟩. ⟨hal-01312954v2⟩

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