Existence and Uniqueness of Solution for a System of Maxwell’s Equations in a Perfect Conductor Medium

Authors

  • Marcos Teixeira Alves Universidade Federal do Paraná
  • Marcio Violante Ferreira Universidade Federal de Santa Maria

DOI:

https://doi.org/10.5902/2179460X12602

Keywords:

Espaços funcionais em eletromagnetismo, operador de Maxwell, Equações de Maxwell, semigrupos de operadores lineares.

Abstract

http://dx.doi.org/10.5902/2179460X12602

We investigate, in this paper, questions related to existence and uniqueness of solution for a system of Maxwell’s equations in a perfect conductor medium. This study will be based on the characterization of the functional spaces of electromagnetic origin and application of the theory of semigroups of linear operators. We present results of existence of solution using different techniques from those used by other authors.

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Author Biographies

Marcos Teixeira Alves, Universidade Federal do Paraná

Programa de Programa de Pós-Graduação em Matemática e Matemática Aplicada

Marcio Violante Ferreira, Universidade Federal de Santa Maria

Departamento de Matemática

Published

2014-11-14

How to Cite

Alves, M. T., & Ferreira, M. V. (2014). Existence and Uniqueness of Solution for a System of Maxwell’s Equations in a Perfect Conductor Medium. Ciência E Natura, 36(2), 341–349. https://doi.org/10.5902/2179460X12602