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Some remarks on Maxwell's equations

✍ Scribed by M Povoas

Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
671 KB
Volume
69
Category
Article
ISSN
0022-247X

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## Abstract Let u be a vector field on a bounded Lipschitz domain in ℝ^3^, and let u together with its divergence and curl be square integrable. If either the normal or the tangential component of u is square integrable over the boundary, then u belongs to the Sobolev space __H__^1/2^ on the domain

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## This paper first presents a fully covariant formulation of Maxwell's equations in matter in the general relativistic framework. Although covariant, this formulation uses only essentially spatial four-vector fields and places in evidence the kinematical couplings (vorticity) and inertial effects (