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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:scopusA Cauchy Transform for Polymonogenic Functions on Fractal Domains
ArticleAbstract: A Cauchy integral representation formula for polymonogenic functions has been established in smoothlPalabras claves:Cauchy formula, Fractals, Polymonogenic functionsAutores:Gómez J.C.H., Ricardo Abreu Blaya, Santiesteban T.R.G., Sigarreta-Almira J.M.Fuentes:scopusA Martinelli-Bochner formula on fractal domains
ArticleAbstract: A new perspective on a Cauchy integral formula for Clifford algebras valued functions on domains witPalabras claves:Clifford analysis, Fractals, Martinelli-Bochner formulaAutores:Reyes J.B., Ricardo Abreu BlayaFuentes:scopusA Riemann jump problem for biharmonic functions in fractal domains
ArticleAbstract: Biharmonic functions are the solutions of the fourth order partial differential equation Δ Δ ω= 0. TPalabras claves:Biharmonic functions, Fractals, Lipschitz classes, Riemann problemAutores:Ricardo Abreu BlayaFuentes:scopusA biregular extension theorem from a fractal surface in R<sup>2n</sup>
ArticleAbstract: The aim of this paper is to prove the characterization on a bounded domain of R2n with fractal boundPalabras claves:Biregular functions, Extension theorems, Fractals, Théodoresco transformAutores:García T.M., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusA jump problem for β-analytic functions in domains with fractal boundaries
ArticleAbstract: Let γ be a simple closed Jordan curve in the complex plane ℂ, ω+ and ω- the corresponding domains inPalabras claves:-analytic functions, Fractals, jump problem, βAutores:Reyes J.B., Ricardo Abreu Blaya, Vilaire J.M.Fuentes:scopusApproximate dimension applied to criteria for monogenicity on fractal domains
ArticleAbstract: Suppose that Ω is a bounded domain of ℝn with a fractal boundary Γ and let ℝ0,n be the real CliffordPalabras claves:Clifford analysis, Fractals, jump problemAutores:Kats B.A., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusLaplacian decomposition of vector fields on fractal surfaces
ArticleAbstract: In the present paper we consider domains in ℝ3 with fractal boundaries. Our main purpose is to studyPalabras claves:Fractals, Quatemionic analysis, Vector fieldsAutores:Moreno García T., Peña-Peña D., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusOn the Plane Lamé–Navier System in Fractal Domains
ArticleAbstract: This paper is devoted to study a fundamental system of equations in plane Linear Elasticity Theory,Palabras claves:Cauchy integral, Fractals, Linear elasticityAutores:Árciga Alejandre M.P., García A.M., Ricardo Abreu Blaya, Valencia D.E.G.Fuentes:scopusRiemann problem for bianalytic functions on h-summable curves
ArticleAbstract: This paper is concerned with the Riemann problem for bianalytic functions on a closed Jordan curve wPalabras claves:30E25, Bianalytic functions, Fractals, Riemann problemAutores:De la Cruz M.P.C., Ricardo Abreu Blaya, Sánchez Santiesteban J.L., Sigarreta-Almira J.M.Fuentes:scopus