Geodesic
Electromagnetic transmission problems with a large parameter in weighted Sobolev spaces
Electronic Journal of Differential Equations, Tome 2013 (2013).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We present an a priori estimate for an electromagnetic transmission problem in unbounded exterior domains in R^3. We consider Maxwell's equations in two sub-domains, the bounded interior representing a conducting material (metal) and the unbounded exterior representing an insulating material (air). The behavior of the solution at infinity is described by means of families of weighted Sobolev spaces, so-called Beppo-Levi spaces [11]. We prove the existence and uniqueness of the solution.
Classification : 65N15, 35A35
Keywords: electromagnetic transmission problem, weighted Sobolev spaces, a priori estimates 
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     author = {Ospino, Jorge Eliecer},
     title = {Electromagnetic transmission problems with a large parameter in weighted {Sobolev} spaces},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a147/}
}
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Ospino, Jorge Eliecer. Electromagnetic transmission problems with a large parameter in weighted Sobolev spaces. Electronic Journal of Differential Equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a147/