Stability estimates for the anisotropic wave equation from the Dirichlet-to-Neumann map
M Bellassoued, DDS Ferreira - arXiv preprint arXiv:1005.0318, 2010 - arxiv.org
In this article we seek stability estimates in the inverse problem of determining the potential
or the velocity in a wave equation in an anisotropic medium from measured Neumann …
or the velocity in a wave equation in an anisotropic medium from measured Neumann …
Stability estimate for a hyperbolic inverse problem with time-dependent coefficient
IB Aicha - Inverse Problems, 2015 - iopscience.iop.org
We study the stability issue in the inverse problem of determining the time-dependent
coefficient $ q (t, x) $ of order zero appearing in the wave equation, from boundary …
coefficient $ q (t, x) $ of order zero appearing in the wave equation, from boundary …
[HTML][HTML] Stable determination outside a cloaking region of two time-dependent coefficients in an hyperbolic equation from Dirichlet to Neumann map
M Bellassoued, IB Aïcha - Journal of Mathematical Analysis and …, 2017 - Elsevier
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 …
appearing in a dissipative wave equation, from measured Neumann boundary observations …
Stability estimate for an inverse problem for the magnetic Schrödinger equation from the Dirichlet-to-Neumann map
M Bellassoued, M Choulli - Journal of Functional Analysis, 2010 - Elsevier
We consider the problem of stability estimate of the inverse problem of determining the
magnetic field entering the magnetic Schrödinger equation in a bounded smooth domain of …
magnetic field entering the magnetic Schrödinger equation in a bounded smooth domain of …
Stability estimate for an inverse wave equation and a multidimensional Borg–Levinson theorem
M Bellassoued, M Choulli, M Yamamoto - Journal of Differential Equations, 2009 - Elsevier
We consider the stability in an inverse problem of determining the potential q entering the
wave equation∂ t2u− Δu+ q (x) u= 0 in a bounded smooth domain of Rd from boundary …
wave equation∂ t2u− Δu+ q (x) u= 0 in a bounded smooth domain of Rd from boundary …
Stable determination of coefficients in the dynamical Schrödinger equation in a magnetic field
M Bellassoued - Inverse Problems, 2017 - iopscience.iop.org
In this paper we consider the inverse problem of determining, on a compact Riemannian
manifold, the electric potential or the magnetic field in a Schrödinger equation via Dirichlet …
manifold, the electric potential or the magnetic field in a Schrödinger equation via Dirichlet …
Stability of the determination of a coefficient for the wave equation in an infinite wave guide
Y Kian - arXiv preprint arXiv:1305.4888, 2013 - arxiv.org
We consider the stability in the inverse problem consisting in the determination of an electric
potential $ q $, appearing in a Dirichlet initial-boundary value problem for the wave equation …
potential $ q $, appearing in a Dirichlet initial-boundary value problem for the wave equation …
On approximation of coefficient inverse problems for differential equations in functional spaces
DG Orlovsky, SI Piskarev - Journal of Mathematical Sciences, 2018 - Springer
This paper is devoted to the theory of approximation of coefficient inverse problems for
differential equations of parabolic, elliptic, and hyperbolic types in functional spaces. We …
differential equations of parabolic, elliptic, and hyperbolic types in functional spaces. We …
Stable determination of coefficients in the dynamical anisotropic Schrödinger equation from the Dirichlet-to-Neumann map
M Bellassoued, DDS Ferreira - Inverse Problems, 2010 - iopscience.iop.org
In this paper we are interested in establishing stability estimates in the inverse problem of
determining on a compact Riemannian manifold the electric potential or the conformal factor …
determining on a compact Riemannian manifold the electric potential or the conformal factor …
Stability estimate for an inverse problem for the Schrödinger equation in a magnetic field with time-dependent coefficient
I Ben Aïcha - Journal of Mathematical Physics, 2017 - pubs.aip.org
We study the stability issue in the inverse problem of determining the magnetic field and the
time-dependent electric potential appearing in the Schrödinger equation, from boundary …
time-dependent electric potential appearing in the Schrödinger equation, from boundary …