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

Mourad Bellassoued (1) , Ibtissem Ben Aicha (2)

1 UTM - Université de Tunis El Manar
2 UCAR - Université de Carthage (Tunisie)

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.

Mots clés: Inverse problems; Dissipative wave equation; Time-dependent coefficient; Uniqueness

Domaines: Equations aux dérivées partielles [math.AP]

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