Geodesic
Electromagnetic transmission problems with a large parameter in weighted Sobolev spaces
Electronic journal of differential equations, Tome 2013 (2013)
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 
@article{EJDE_2013__2013__a47,
     author = {Ospino,  Jorge Eliecer},
     title = {Electromagnetic transmission problems with a large parameter in weighted {Sobolev} spaces},
     journal = {Electronic journal of differential equations},
     year = {2013},
     volume = {2013},
     zbl = {1288.78024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a47/}
}
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JO  - Electronic journal of differential equations
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%0 Journal Article
%A Ospino,  Jorge Eliecer
%T Electromagnetic transmission problems with a large parameter in weighted Sobolev spaces
%J Electronic journal of differential equations
%D 2013
%V 2013
%U http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a47/
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%F EJDE_2013__2013__a47
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__a47/