Homogenisation for a statinory Maxwell system

Details Homogenisation for a statinory Maxwell system Homogenisation for a statinory Maxwell system

2011-01-27

arxiv.org/abs/1101.5267v1

Physics

Mathematical Physics

Scientific paper

We study homogenization problem for the stationary Maxwell system. It is supposed that the magnetic permeability and the dielectric permittivity locally close to fast-oscillating (with respect to some small parameter) periodic functions which can change the form on rather big distances. An asymptotic behavior to solutions of the Maxwell system outside of its spectrum is obtained. We also describe asymptotic behavior of resolvent with control of the remainder in terms of some appropriate operator norms.

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