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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:scopusBoundary value problems associated to a Hermitian Helmholtz equation
ArticleAbstract: As is the case for the Laplace operator, in Euclidean Clifford analysis also the Helmholtz operatorPalabras claves:Boundary value problems, Helmholtz equations, Hermitian Clifford analysisAutores:Brackx F., De Schepper H., Reyes J.B., Ricardo Abreu Blaya, Sommen F.Fuentes:scopusBoundary value problems for hyperholomorphic solutions of two dimensional Helmholtz equation in a fractal domain
ArticleAbstract: A theory of quaternion-valued functions, called hyperholomorphic, of two real variables has long beePalabras claves:Boundary value problems, fractal geometry, Helmholtz equations, Quaternionic analysisAutores:Reyes J.B., Ricardo Abreu Blaya, Rodríguez–Dagnino R.M.Fuentes:scopusBoundary value problems for the Cimmino system via quaternionic analysis
ArticleAbstract: In this paper, we study a class of boundary value problems for a first order linear partial differenPalabras claves:Boundary value problems, Cimmino system, Quaternionic analysisAutores:Guzmán Adán A., Reyes J.B., Ricardo Abreu Blaya, Schneider B.Fuentes: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:scopusOn Riemann boundary value problems for null solutions of the two dimensional Helmholtz equation
ArticleAbstract: The Riemann boundary value problem (RBVP to shorten notation) in the complex plane, for different clPalabras claves:Boundary value problems, Helmholtz equations, Quaternionic analysisAutores:Kats B.A., Reyes J.B., Ricardo Abreu Blaya, Rodríguez–Dagnino R.M.Fuentes:scopusOn boundary value problems for perturbed Hermitean matrix Dirac equations in a fractal domain
ArticleAbstract: We apply Hermitean circulant (2×2) matrix function theoretic results for direct account of the jumpPalabras claves:Boundary value problems, Complex Hermitean Clifford analysis, Helmholtz equationAutores:Reyes J.B., Ricardo Abreu BlayaFuentes:scopus