UNIQUENESS FOR AN INVERSE PROBLEM FOR A DISSIPATIVE WAVE EQUATION WITH TIME DEPENDENT COEFFICIENT
| Autor: | Mourad Bellassoued, Ibtissem Ben Aïcha |
|---|---|
| Přispěvatelé: | Université de Tunis El Manar (UTM), Université de Carthage - University of Carthage |
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Inverse problems
010102 general mathematics Mathematical analysis General Medicine Inverse problem Wave equation 01 natural sciences 010101 applied mathematics Dissipative wave equation Time-dependent coefficient Dissipative system [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] Uniqueness 0101 mathematics [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP] Mathematics |
| Zdroj: | Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2016, Volume 23-2016-Special issue for LEM2I 2016 |
| ISSN: | 1638-5713 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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