On transforms of divergence-free and curl-free fields, associated with inverse problems

DOI10.1007/s10958-015-2309-5zbMath1375.35624OpenAlexW2087305450WikidataQ125388382 ScholiaQ125388382MaRDI QIDQ280871

M. N. Demchenko

Publication date: 10 May 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2309-5

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30)

Cites Work

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• On the reconstruction of a metric from external electromagnetic measurements.
• On a unitary transform in the space \(L_2(\Omega;\mathbb R^3)\) connected with the Weyl decomposition
• Hodge decomposition. A method for solving boundary value problems
• On a partially isometric transform of divergence-free vector fields
• The dynamical 3-dimensional inverse problem for the Maxwell system

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