Uniform stabilization for Maxwell's equations with boundary conditions with memory

Article type: Research Article

Authors: Kapitonov, Boris V.^; | Perla Menzala, G.^;

Affiliations: Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, Russia | National Laboratory of Scientific Computation, LNCC/MCT, Rua Getúlio Vargas 333, Quitandinha, CEP 25651‐070, Petrópolis, RJ, Brazil E‐mail: perla@lncc.br | Institute of Mathematics, UFRJ, RJ, Brazil

Note: [] Visiting Researcher at the National Laboratory of Scientific Computation (LNCC/MCT), Brazil. E‐mail: borisvk@lncc.br

Abstract: We consider a transmission problem for Maxwell's equations with a dissipative boundary condition of memory type. Under suitable geometric conditions imposed on the domain and the interfaces where the coefficients are allow to have a jump discontinuity, results on uniform stabilization are established.

Keywords: Maxwell's equations, problems of transmission, stabilization

Journal: Asymptotic Analysis, vol. 26, no. 2, pp. 91-104, 2001