Recovery of a Time-Dependent Hermitian Connection and Potential Appearing in the Dynamic Schrödinger Equation
DOI10.1137/20M1353265zbMath1484.35416arXiv2006.07723OpenAlexW4220686078MaRDI QIDQ5037717
Publication date: 4 March 2022
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.07723
Dirichlet-to-Neumann mapGaussian beamsray-transforminitial-boundary value problem on a Riemannian manifold with boundaryvector-valued dynamic Schrödinger equation
Inverse problems for PDEs (35R30) Connections (general theory) (53C05) Time-dependent Schrödinger equations and Dirac equations (35Q41) PDEs on manifolds (35R01)
Cites Work
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- The Calderón problem in transversally anisotropic geometries
- Stability estimate for an inverse problem for the magnetic Schrödinger equation from the Dirichlet-to-Neumann map
- Inverse problems for the connection Laplacian
- The attenuated ray transform for connections and Higgs fields
- Calderón problem for Yang-Mills connections
- Hölder-stable recovery of time-dependent electromagnetic potentials appearing in a dynamical anisotropic Schrödinger equation
- Stability estimates for time-dependent coefficients appearing in the magnetic Schrödinger equation from arbitrary boundary measurements
- Inverse boundary problems for systems in two dimensions
- Stable determination of coefficients in the dynamical anisotropic Schrödinger equation from the Dirichlet-to-Neumann map
- Stable Determination of Time-Dependent Scalar Potential from Boundary Measurements in a Periodic Quantum Waveguide
- Inverse problems for the Schrödinger equations with time-dependent electromagnetic potentials and the Aharonov–Bohm effect
- Calderón problem for connections
- Hölder Stably Determining the Time-Dependent Electromagnetic Potential of the Schrödinger Equation
- Determining the time-dependent matrix potential in a wave equation from partial boundary data
- The geodesic X-ray transform with matrix weights
- Stable determination of coefficients in the dynamical Schrödinger equation in a magnetic field
- Stability estimate for an inverse problem for the Schrödinger equation in a magnetic field with time-dependent coefficient
- Global uniqueness in the inverse scattering problem for the Schrödinger operator with external Yang-Mills potentials
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