Stable determination outside a cloaking region of two time-dependent coefficients in an hyperbolic equation from Dirichlet to Neumann map

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:449

Article

Bellassoued, Mourad¹  Ben Aicha, Ibtissem^2,3 

[1] Univ Tunis El Manar, Ecole Natl Ingenieurs Tunis LAMSIN, BP 37, Tunis Le Belvedere 1002, Tunisia

[2] Ain Marseille Univ, 58 Blvd Charles Livon, F-13284 Marseille, France

[3] Univ Carthage, Fac Sci Bizerte, Tarzouna Bizerte 7021, Tunisia

关键词: Inverse problems;    Dissipative wave equation;    Time-dependent coefficients;    Stability estimates;   

DOI  :  10.1016/j.jmaa.2016.11.082

来源: Elsevier

【 摘 要 】

In this paper, we treat the inverse problem of determining two time-dependent coefficients appearing in a dissipative wave equation, from measured Neumann boundary observations. We establish in dimension n >= 2 stability estimates with respect to the Dirichlet-to-Neumann map of these coefficients provided that they are known outside cloaking regions. Moreover, we prove that they can be stably recovered in larger subsets of the domain by enlarging the set of data. (c) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free