Inverse Problem for the Yang-Mills Equations

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Chen , X , Lassas , M , Oksanen , L & Paternain , G P 2021 , ' Inverse Problem for the Yang-Mills Equations ' , Communications in Mathematical Physics , vol. 384 , pp. 1187–1225 . https://doi.org/10.1007/s00220-021-04006-0

Title: Inverse Problem for the Yang-Mills Equations
Author: Chen, Xi; Lassas, Matti; Oksanen, Lauri; Paternain, Gabriel P.
Contributor: University of Helsinki, Department of Mathematics and Statistics
University of Helsinki, Department of Mathematics and Statistics
Date: 2021-06
Language: eng
Number of pages: 39
Belongs to series: Communications in Mathematical Physics
ISSN: 0010-3616
URI: http://hdl.handle.net/10138/330213
Abstract: We show that a connection can be recovered up to gauge from source-to-solution type data associated with the Yang-Mills equations in Minkowski space R1+3. Our proof analyzes the principal symbols of waves generated by suitable nonlinear interactions and reduces the inversion to a broken non-abelian light ray transform. The principal symbol analysis of the interaction is based on a delicate calculation that involves the structure of the Lie algebra under consideration and the final result holds for any compact Lie group.
Subject: PROGRESSING WAVES
GLOBAL UNIQUENESS
SINGULARITIES
RECONSTRUCTION
111 Mathematics
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