Inverse problem for the Yang-Mills equations

DOI10.1007/s00220-021-04006-0zbMath1468.78005arXiv2005.12578OpenAlexW3139013980MaRDI QIDQ2030387

Gabriel P. Paternain, Matti Lassas, Xi Chen, Lauri Oksanen

Publication date: 7 June 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.12578

zbMATH Keywords

inverse problemLie algebraMinkowski spaceYang-Mills equationsprincipal symbols of waves

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of Lie (super)algebras to physics, etc. (17B81) Special relativity (83A05) Waves and radiation in optics and electromagnetic theory (78A40) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (7)

Stability estimate for the broken non-abelian x-ray transform in Minkowski space ⋮ Uniqueness, reconstruction and stability for an inverse problem of a semi-linear wave equation ⋮ An Inverse Boundary Value Problem Arising in Nonlinear Acoustics ⋮ Increasing stability of a linearized inverse boundary value problem for a nonlinear Schrödinger equation on transversally anisotropic manifolds ⋮ Inverse boundary value problems for wave equations with quadratic nonlinearities ⋮ Inverse problems for nonlinear hyperbolic equations with disjoint sources and receivers ⋮ The Dirichlet-to-Neumann map for a semilinear wave equation on Lorentzian manifolds

Uses Software

• GitHub

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