Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775058 | Journal of Mathematical Analysis and Applications | 2017 | 31 Pages |
Abstract
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 nâ¥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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Mourad Bellassoued, Ibtissem Ben Aïcha,