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

详细信息    查看全文

• 作者：Mourad Bellassoued^a ; ^{mourad.bellassoued@enit.utm.tn} ; Ibtissem Ben Aï ; cha^b ; ^c ; ^{ibtissembenaicha91@gmail.com}
• 关键词：Inverse problems ; Dissipative wave equation ; Time-dependent coefficients ; Stability estimates
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 May 2017
• 年：2017
• 卷：449
• 期：1
• 页码：46-76
• 全文大小：575 K
• 卷排序：449

文摘

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≥2n≥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.