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

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 $n\ge 2$, stability estimates with respect to the Dirichlet-to-Neumann map of these coefficients provided that are known outside a cloaking regions. Moreover, we prove that it can be stably recovered in larger subsets of the domain by enlarging the set of data

References in corpus (1)

• Reconstruction of shapes and refractive indices from backscattering experimental data using the adaptivity

Cited by in corpus (2)

• Stability estimate for an inverse problem for the Schr{ö}dinger equation in a magnetic field with time-dependent coefficient
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