Energy decay rates for solutions of Maxwell's system with a memory boundary condition

• Autores: Serge Nicaise, Cristina Pignotti
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 58, Fasc. 3, 2007, págs. 327-342
• Idioma: español
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• Resumen

  • We consider the stabilization of Maxwell¿s equations with space variable coefficients in a bounded region with a smooth boundary, subject to dissipative boundary conditions of memory type on the boundary. Under suitable conditions on the domain and on the permeability and permittivity coefficients, we prove the exponential/polynomial decay of the energy. Our result is mainly based on the use of the multipliers method and the introduction of a suitable Lyapounov functional.