# Inverse Transmission Problems for Magnetic SchrÃ¶dinger Operators

## Related Articles

- Inverse Problems With Partial Data for a Magnetic SchrÃ¶dinger Operator in an Infinite Slab and on a Bounded Domain. Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther // Communications in Mathematical Physics;May2012, Vol. 312 Issue 1, p87
In this paper we study inverse boundary value problems with partial data for the magnetic SchrÃ¶dinger operator. In the case of an infinite slab in $${\mathbb{R}^n}$$ , n â‰¥ 3, we establish that the magnetic field and the electric potential can be determined uniquely, when the Dirichlet...

- Inverse scattering for lasso graph. Kurasov, Pavel // Journal of Mathematical Physics;Apr2013, Vol. 54 Issue 4, p042103
The inverse problem for the magnetic SchrÃ¶dinger operator on the lasso graph with different matching conditions at the vertex is investigated. It is proven that the Titchmarsh-Weyl function known for different values of the magnetic flux through the cycle determines the unique potential on...

- The Neuroelectromagnetic Inverse Problem and the Zero Dipole Localization Error. de Peralta, Rolando Grave; Hauk, Olaf; Gonzalez, Sara L. // Computational Intelligence & Neuroscience;2009, Special section p1
A tomography of neural sources could be constructed from EEG/MEG recordings once the neuroelectromagnetic inverse problem (NIP) is solved. Unfortunately the NIP lacks a unique solution and therefore additional constraints are needed to achieve uniqueness. Researchers are then confronted with the...

- EEG/MEG Source Imaging: Methods, Challenges, and Open Issues. Wendel, Katrina; Väisänen, Outi; Malmivuo, Jaakko; Gencer, Nevzat G.; Vanrumste, Bart; Durka, Piotr; Magjarević, Ratko; Supek, Selma; Pascu, Mihail Lucian; Fontenelle, Hugues; Menendez, Rolando Grave de Peralta // Computational Intelligence & Neuroscience;2009, Special section p1
We present the four key areas of research--preprocessing, the volume conductor, the forward problem, and the inverse problem--that affect the performance of EEG and MEG source imaging. In each key area we identify prominent approaches and methodologies that have open issues warranting further...

- Resistor mesh model of a spherical head: part 1: applications to scalp potential interpolation. Chauveau, N.; Morucci, J. P.; Franceries, X.; Celsis, P.; Rigaud, B. // Medical & Biological Engineering & Computing;Nov2005, Vol. 43 Issue 6, p694
A resistor mesh model (RMM) has been implemented to describe the electrical properties of the head and the configuration of the intracerebral current sources by simulation of forward and inverse problems in electroencephalogram/event related potential (EEG/ERP) studies. For this study, the RMM...

- Stability of Direct and Inverse Eigenvalue Problems for SchrÃ¶dinger Operators on Finite Intervals. Horváth, Miklós; Kiss, Márton // IMRN: International Mathematics Research Notices;May2010, Vol. 2010 Issue 11, p2022
We consider the inverse eigenvalue problem for SchrÃ¶dinger operators on finite intervals. Among others, we show that if the potential is in Lp, then the perturbation of the potentials can be estimated by the lpâ€²-norm of the sequence of the eigenvalue differences only if p â‰¥ 2. As...

- Inverse Problem for the Discrete 1D SchrÃ¶dinger Operator with Small Periodic Potentials. Korotyaev, Evgeny; Kutsenko, Anton // Communications in Mathematical Physics;Jan2006, Vol. 261 Issue 1, p673
Consider the discrete 1D SchrÃ¶dinger operator on â„¤ with an odd 2 k periodic potential q. For small potentials we show that the mapping: qâ†’ heights of vertical slits on the quasi-momentum domain (similar to the Marchenko-Ostrovski maping for the Hill operator) is a local...

- Inverse problems for selfadjoint SchrÃ¶dinger operators on the half line with compactly supported potentials. Aktosun, Tuncay; Sacks, Paul; Unlu, Mehmet // Journal of Mathematical Physics;2015, Vol. 56 Issue 2, p1
For a selfadjoint SchrÃ¶dinger operator on the half line with a real-valued, integrable, and compactly supported potential, it is investigated whether the boundary parameter at the origin and the potential can uniquely be determined by the scattering matrix or by the absolute value of the Jost...

- Stability Estimates for an Inverse Problem for the Magnetic SchrÃ¶dinger Operator. Caro, Pedro; Pohjola, Valter // IMRN: International Mathematics Research Notices;2015, Vol. 2015 Issue 21, p11083
In this paper, we prove stable determination of an inverse boundary value problem associated to a magnetic Schr Ã¼odinger operator assuming that the magnetic and electric potentials are essentially bounded and the magnetic potentials admit a HÃ¼older-type modulus of continuity in the sense...