Boundary and scattering rigidity problems in the presence of a magnetic field and a potential

DOI10.3934/ipi.2015.9.935zbMath1335.53054arXiv1307.7449OpenAlexW2962712947MaRDI QIDQ256083

Yernat M. Assylbekov, Hanming Zhou

Publication date: 9 March 2016

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.7449

zbMATH Keywords

potentialmagnetic fieldgauge invarianceactionboundary rigidity

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Applications of global differential geometry to the sciences (53C80) Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (5)

Lens rigidity with partial data in the presence of a magnetic field ⋮ Uniqueness of the partial travel time representation of a compact Riemannian manifold with strictly convex boundary ⋮ Stable reconstruction of simple Riemannian manifolds from unknown interior sources ⋮ Inverse source problems in transport equations with external forces ⋮ Boundary rigidity for Randers metrics

Cites Work

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• Scattering rigidity for analytic Riemannian manifolds with a possible magnetic field
• Reconstructing the metric and magnetic field from the scattering relation
• Rigidity and the distance between boundary points
• On inverse problems in electromagnetic field in classical mechanics at fixed energy
• Variational methods and periodic solutions of equations of Kirchhoff type. II
• Sur la rigidite imposee par la longueur des geodesiques
• A problem of reconstructing a Riemannian metric
• Small angle scattering and \(X\)-ray transform in classical mechanics
• Stability estimates for the \(X\)-ray transform of tensor fields and boundary rigidity
• Integral geometry for tensor fields. Transl. from the Russian
• Scattering boundary rigidity in the presence of a magnetic field
• Two dimensional compact simple Riemannian manifolds are boundary distance rigid
• The boundary rigidity problem in the presence of a magnetic field
• Boundary rigidity with partial data
• Recent progress on the boundary rigidity problem
• The Hamiltonian formalism and a many-valued analogue of Morse theory
• Calculus of variations in the large and classical mechanics
• Boundary rigidity and stability for generic simple metrics
• SOME SMOOTH ERGODIC SYSTEMS

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