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Boundary Value Problems on Fractal Hypersurfaces for the Quaternionic Hermitian System in (Formula presented.)
ArticleAbstract: In this paper we formulate and study Dirichlet and jump problems on fractal hypersurfaces in (FormulPalabras claves:Boundary value problems, Fractal surfaces, Quaternionic Hermitian Clifford analysisAutores:Brackx F., De Schepper H., Moreno García T., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusA holomorphic extension theorem from a fractal hypersurface in ℂ<sup>2</sup>
ArticleAbstract: We consider the problem of identifying boundary values of holomorphic functions on bounded domains iPalabras claves:CR-functions, Holomorphic functions, Quaternionic analysisAutores:Moreno García T., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusDecomposition of inframonogenic functions with applications in elasticity theory
ArticleAbstract: In this paper, we consider functions satisfying the sandwich equation (Formula presented.), where (FPalabras claves:Almansi decomposition, Clifford analysis, inframonogenic functions, Lamé system, Linear elasticityAutores:Moreno García A., Moreno García T., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusCauchy transform on nonrectifiable surfaces in Clifford analysis
ArticleAbstract: The problem of reconstructing a monogenic Clifford algebra valued function on the boundary Γ of a gePalabras claves:Cauchy transform, Clifford analysis, RectifiabilityAutores:Moreno García T., Reyes J.B., Ricardo Abreu BlayaFuentes:scopusDirichlet type problems in Hermitian Clifford analysis
ArticleAbstract: Solvability conditions for some Dirichlet type boundary value problems in the framework of HermitianPalabras claves:Boundary value and extension problems for solutions of partial differential equations, Hermitian Clifford analysisAutores:Brackx F., De Schepper H., Moreno García T., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes: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:scopusInframonogenic functions and their applications in 3-dimensional elasticity theory
ArticleAbstract: Solutions of the sandwich equation ∂x_f∂x_=0, where ∂x_ stands for the first-order differential operPalabras claves:Clifford analysis, inframonogenic functions, Lamé system, Linear elasticityAutores:Moreno García A., Moreno García T., Reyes J.B., Ricardo Abreu BlayaFuentes:scopus