Stability estimate for an inverse problem for the magnetic Schrödinger equation from the Dirichlet-to-Neumann map

Mourad Bellassoued, Mourad Choulli

Type: Article

Publication Date: 2009-07-05

Citations: 43

DOI: https://doi.org/10.1016/j.jfa.2009.06.010

View Publication

Locations

Journal of Functional Analysis - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Stable determination of coefficients in the dynamical Schrödinger equation in a magnetic field	2017	Mourad Bellassoued
+	Stable determination of coefficients in the dynamical Schr\"odinger equation in a magnetic field	2015	Mourad Bellassoued
+	Stability estimate for an inverse problem for the Schrödinger equation in a magnetic field with time-dependent coefficient	2017	Ibtissem Ben Aïcha
+ PDF Chat	Stability estimate in an inverse problem for non-autonomous magnetic Schrödinger equations	2011	Michel Cristofol Éric Soccorsi
+ PDF Chat	Stability estimate for an inverse problem for the electro-magnetic wave equation and spectral boundary value problem	2010	Hajer Ben Joud
+	Stability estimate for an inverse problem for the wave equation in a magnetic field	2008	Mourad Bellassoued Hajer Benjoud
+	Stable determination of coefficients in the dynamical Schrödinger equation in a magnetic field	2015	Mourad Bellassoued
+	A stability estimate for an inverse problem for the Schrödinger equation in a magnetic field from partial boundary measurements	2009	Hajer Ben Joud
+ PDF Chat	Stability estimates for time-dependent coefficients appearing in the magnetic Schrödinger equation from arbitrary boundary measurements	2020	Mourad Bellassoued Oumaima Ben Fraj
+ PDF Chat	Stable determination of coefficients in the dynamical anisotropic Schrödinger equation from the Dirichlet-to-Neumann map	2010	Mourad Bellassoued David Dos Santos Ferreira
+	Stability estimate in an inverse problem for non-autonomous Schrödinger equations	2012	Michel Cristofol Éric Soccorsi
+ PDF Chat	Lipschitz Stability of an Inverse Boundary Value Problem for a Schrödinger-Type Equation	2013	Elena Beretta Maarten V. de Hoop Lingyun Qiu
+	STABILITY FOR THE ALIGNED MAGNETIC FIELD BY THE DIRICHLET-TO-NEUMANN MAP FOR THE WAVE EQUATION IN A PERIODIC QUANTUM WAVEGUIDE	2016	Youssef Mejri
+ PDF Chat	Stability estimate for the aligned magnetic field in a periodic quantum waveguide from Dirichlet-to-Neumann map	2016	Youssef Mejri
+	Stability estimates for an inverse problem for the magnetic Schr\"odinger operator	2013	Pedro Caro Valter Pohjola
+	Stability for the inverse potential problem by the local Dirichlet-to-Neumann map for the Schrödinger equation	2007	Ines Kamoun Fathallah
+	Lipschitz stability of an inverse boundary value problem for a Schrödinger type equation	2012	Elena Beretta Maarten V. de Hoop Lingyun Qiu
+	Stability estimates for the anisotropic wave equation from the Dirichlet-to-Neumann map	2010	Mourad Bellassoued David Dos Santos Ferreira
+ PDF Chat	Stable determination of a vector field in a non-Self-Adjoint dynamical Schrödinger equation on Riemannian manifolds	2020	Mourad Bellassoued Ibtissem Ben Aïcha Zouhour Rezig
+	Stability estimates for the anisotropic wave equation from the Dirichlet-to-Neumann map	2010	Mourad Bellassoued David Dos Santos Ferreira

Works That Cite This (43)

Action	Title	Year	Authors
+	Spectral invariants of the magnetic Dirichlet-to-Neumann map on Riemannian manifolds	2023	Genqian Liu Xiaoming Tan
+	Stable determination of coefficients in the dynamical Schr\"odinger equation in a magnetic field	2015	Mourad Bellassoued
+ PDF Chat	The inverse problem of two-state quantum systems with non-adiabatic static linear coupling	2020	Andrii Khrabustovskyi Imèn Rassas Éric Soccorsi
+ PDF Chat	Hölder Stably Determining the Time-Dependent Electromagnetic Potential of the Schrödinger Equation	2019	Yavar Kian Éric Soccorsi
+	Stable Determination of Time-Dependent Scalar Potential from Boundary Measurements in a Periodic Quantum Waveguide	2015	Mourad Choulli Yavar Kian Éric Soccorsi
+ PDF Chat	Stability estimate in an inverse problem for non-autonomous magnetic Schrödinger equations	2011	Michel Cristofol Éric Soccorsi
+	An inverse problem for the magnetic Schr\"odinger equation in infinite cylindrical domains	2016	Mourad Bellassoued Yavar Kian Éric Soccorsi
+	Comments on observability and stabilization of magnetic Schr{ö}dinger equations	2017	Kaïs Ammari Mourad Choulli Luc Robbiano
+	Carleman estimate for the Schrödinger equation and application to magnetic inverse problems	2018	Xinchi Huang Yavar Kian Éric Soccorsi Masahiro Yamamoto
+	Stability estimate in an inverse problem for non-autonomous Schrödinger equations	2012	Michel Cristofol Éric Soccorsi

Works Cited by This (47)

Action	Title	Year	Authors
+	Non homogeneous boundary value problems for second order hyperbolic operators	1986	Irena Lasiecka J. L. Lions Roberto Triggiani
+	Uniqueness for an inverse problem for the wave equation	1988	Rakesh Rakesh William W. Symes
+	Inverse Boundary Spectral Problems	2001	Alexander Kachalov Yaroslav Kurylev Matti Lassas
+	Inverse boundary value problems and applications	1992	Günther Uhlmann
+	Inverse problems for the Schrödinger equation via Carleman inequalities with degenerate weights	2008	Alberto Mercado Axel Osses Lionel Rosier
+	Stability estimate for an inverse problem for the wave equation in a magnetic field	2008	Mourad Bellassoued Hajer Benjoud
+ PDF Chat	Stability Estimates for Coefficients of Magnetic Schrödinger Equation from Full and Partial Boundary Measurements	2008	Leo Tzou
+	Lipschitz stability for a hyperbolic inverse problem by finite local boundary data	2006	Mourad Bellassoued D. Jellali Masahiro Yamamoto
+	Stability estimate for the hyperbolic inverse boundary value problem by local Dirichlet-to-Neumann map	2008	Mourad Bellassoued D. Jellali Masahiro Yamamoto
+	Determining the potential in the Schrödinger equation from the Dirichlet to Neumann map by the boundary control method	2005	Sergei Avdonin Suzanne Lenhart V. Protopopescu