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  1. Home > Articles & Issues >
  2. Articles >
  3. UNIQUENESS FOR AN IN ...
Article

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

Mourad Bellassoued (1) (2), Ibtissem Ben Aicha (3) (4) (5)
(1) Université de Tunis El Manar
(2) Tunis El Manar University [University of Tunis El Manar] [Tunisia] = Université de Tunis El Manar [Tunisie] = جامعة تونس المنار (ar)
(3) Université de Carthage - University of Carthage
(4) Université de Carthage (Tunisie)
(5) Université de Carthage (Tunisie) = University of Carthage
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Submitted on
December 8, 2016
Accepted on
December 7, 2016
Published on
December 13, 2016
Last modified on
March 31, 2025
Special issue 23
Volume 23 - 2016 - Special issue for LEM2I 2016
DOI
10.46298/arima.1497
License
https://about.hal.science/hal-authorisation-v1
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UNIQUENESS FOR AN INVERSE PROBLEM FOR A DISSIPATIVE WAVE EQUATION WITH TIME DEPENDENT COEFFICIENT

Mourad Bellassoued (1) (2), Ibtissem Ben Aicha (3) (4) (5)
(1) Université de Tunis El Manar
(2) Tunis El Manar University [University of Tunis El Manar] [Tunisia] = Université de Tunis El Manar [Tunisie] = جامعة تونس المنار (ar)
(3) Université de Carthage - University of Carthage
(4) Université de Carthage (Tunisie)
(5) Université de Carthage (Tunisie) = University of Carthage
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.
Keywords
  • [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
  • Inverse problems
  • Dissipative wave equation
  • Time-dependent coefficient
  • Uniqueness
Mathematics Subject Classification 2020
  • 35L05 - Wave equation
  • 35R30 - Inverse problems for PDEs
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