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Boundary value problems for Dirac operators and Maxwell's equations in fractal domains
ArticleAbstract: Some boundary value problems are solved for time-harmonic electromagnetic fields on fractal domains,Palabras claves:Electromagnetic fields, Fractals, Maxwell Equations, Quaternionic analysisAutores:Ávila-Ávila R., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusBoundary value problems with higher order Lipschitz boundary data for polymonogenic functions in fractal domains
ArticleAbstract: In this note we consider certain jump problem for poly-monogenic functions in fractal domains with hPalabras claves:Boundary value problems, Clifford analysis, fractal geometryAutores:Ávila-Ávila R., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusCauchy representation formulas for Maxwell equations in 3-dimensional domains with fractal boundaries
ArticleAbstract: The aim of this paper is to offer a new definition of Cauchy integral associated with Maxwell equatiPalabras claves:Cauchy representation formulas, fractal boundaries, Maxwell EquationsAutores:Ávila-Ávila R., Reyes J.B., Ricardo Abreu Blaya, Rodríguez–Dagnino R.M.Fuentes:scopus