[图书][B] Carleman estimates and applications to inverse problems for hyperbolic systems

M Bellassoued, M Yamamoto - 2017 - Springer
In this book, focusing on hyperbolic systems, we give self-contained descriptions of•
derivations of Carleman estimates;• methods for application of Carleman estimates to …

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 …

Stability estimates for an inverse problem for Schrödinger operators at high frequencies from arbitrary partial boundary measurements

X Zhao, G Yuan - Inverse Problems, 2023 - iopscience.iop.org
Stability estimates for an inverse problem for Schrödinger operators at high frequencies from
arbitrary partial boundary measurements - IOPscience This site uses cookies. By continuing to …

Stable determination of time-dependent scalar potential from boundary measurements in a periodic quantum waveguide

M Choulli, Y Kian, E Soccorsi - SIAM Journal on Mathematical Analysis, 2015 - SIAM
Stable Determination of Time-Dependent Scalar Potential from Boundary Measurements in a
Periodic Quantum Waveguide Page 1 Copyright © by SIAM. Unauthorized reproduction of this …

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 …

Inverse problem for the heat equation and the Schrödinger equation on a tree

LI Ignat, AF Pazoto, L Rosier - Inverse Problems, 2011 - iopscience.iop.org
In this paper, we establish global Carleman estimates for the heat and Schrödinger
equations on a network. The heat equation is considered on a general tree and the …

Hölder stably determining the time-dependent electromagnetic potential of the Schrödinger equation

Y Kian, E Soccorsi - SIAM Journal on Mathematical Analysis, 2019 - SIAM
We consider the inverse problem of determining the time-and space-dependent
electromagnetic potential of the Schrödinger equation in a bounded domain of R^n, n≧2 …

A stability estimate for an inverse problem for the Schrödinger equation in a magnetic field from partial boundary measurements

HB Joud - Inverse Problems, 2009 - iopscience.iop.org
In this paper, we study the inverse boundary value problem of determining the magnetic field
and the electric potential of the magnetic Schrödinger equation from the Dirichlet to …

A Carleman estimate for infinite cylindrical quantum domains and the application to inverse problems

Y Kian, QS Phan, E Soccorsi - Inverse Problems, 2014 - iopscience.iop.org
We consider the inverse problem of determining the time-independent scalar potential q of
the dynamic Schrödinger equation in an infinite cylindrical domain Ω, from one Neumann …

Stability estimate in an inverse problem for non-autonomous magnetic Schrödinger equations

M Cristofol, E Soccorsi - Applicable Analysis, 2011 - Taylor & Francis
We consider the inverse problem of determining the time-dependent magnetic field of the
Schrödinger equation in a bounded open subset of,, from a finite number of Neumann data …