Uniqueness in an inverse boundary problem for a magnetic Schrödinger operator with a bounded magnetic potential
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Publication:2450869
DOI10.1007/s00220-014-1942-zzbMath1295.35366arXiv1206.4727OpenAlexW2051112773MaRDI QIDQ2450869
Gunther Uhlmann, Katsiaryna Krupchyk
Publication date: 23 May 2014
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1206.4727
Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55) Geometric optics (78A05)
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Cites Work
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- A global uniqueness theorem for an inverse boundary value problem
- Carleman estimates and inverse problems for Dirac operators
- The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
- Complex geometrical optics solutions for Lipschitz conductivities.
- Uniqueness in the inverse conductivity problem for conductivities with \(3/2\) derivatives in \(L^p\), \(p>2n\)
- Inverse scattering problem for the Schrödinger equation with magnetic potential at a fixed energy
- Global identifiability for an inverse problem for the Schrödinger equation in a magnetic field
- Uniqueness in Calderón's problem with Lipschitz conductivities
- Determining a magnetic Schrödinger operator from partial Cauchy data
- Calderón's inverse conductivity problem in the plane
- The Calderón problem with partial data
- An Inverse Boundary Value Problem for Schrodinger Operators with Vector Potentials
- Semiclassical Pseudodifferential Calculus and the Reconstruction of a Magnetic Field
- Exponentially Growing Solutions for Nonsmooth First-Order Perturbations of the Laplacian
- The Calderón problem for conormal potentials I: Global uniqueness and reconstruction
- An inverse problem for the magnetic Schr dinger equation and quasi-exponential solutions of nonsmooth partial differential equations
- Global Uniqueness in the Impedance-Imaging Problem for Less Regular Conductivities
