Jorge Eliecer Ospino
Abstract:
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.
Submitted June 15, 2012. Published November 15, 2013.
Math Subject Classifications: 65N15, 35A35.
Key Words: Electromagnetic transmission problem;
weighted Sobolev spaces; a priori estimates.
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Jorge Eliécer Ospino Portillo Departamento de Matemáticas y Estadística Fundación Universidad del Norte Barranquilla, Colombia email: jospino@uninorte.edu.co |
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