Geodesic
A Regularization Method for the Quasi-Stationary Maxwell Problem in an Inhomogeneous Conducting Medium
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 11 (2011) no. 1, pp. 35-44

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We consider the quasi-stationary Maxwell problem of defining a vector potential of a magnetic field with a non-standard gauging condition in an inhomogeneous conducting medium. The problem in question is the one with constraints on the right-hand side and on the solution itself. A generalized and regularized statement of this problem without constraints is proposed and substantiated. Such a problem statement is equivalent to the original generalized problem with constraints.
Keywords: quasistationary Maxwell's equations, vector potential, saddle point problem, regularization, discontinuous coefficients. 
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     author = {I. A. Kremer and M. V. Urev},
     title = {A {Regularization} {Method} for the {Quasi-Stationary} {Maxwell} {Problem} in an {Inhomogeneous} {Conducting} {Medium}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
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I. A. Kremer; M. V. Urev. A Regularization Method for the Quasi-Stationary Maxwell Problem in an Inhomogeneous Conducting Medium. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 11 (2011) no. 1, pp. 35-44. http://geodesic.mathdoc.fr/item/VNGU_2011_11_1_a2/