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Complex Analysis and Operator Theory(11)
Journal of Mathematical Analysis and Applications(9)
Analysis and Mathematical Physics(6)
Advances in Applied Clifford Algebras(5)
Mathematical Methods in the Applied Sciences(5)
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Optimización matemática(76)
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scopus(82)
Clifford analysis approach to a self-conjugate Cauchy type integral on Ahlfors regular surfaces
ArticleAbstract: In this note, based on a natural isomorphism between the spaces of differential forms and Clifford aPalabras claves:Clifford analysis, differential forms, Multi-vector fieldsAutores:Reyes J.B., Ricardo Abreu BlayaFuentes:scopusComparing Harmonic and Inframonogenic Functions in Clifford Analysis
ArticleAbstract: Harmonic functions are the solutions of the second-order partial differential equation ∂x̲∂x̲u=0, whPalabras claves:Clifford analysis, harmonic functions, inframonogenic functionsAutores:García A.M., García T.M., Ricardo Abreu BlayaFuentes:scopusCompound Riemann Hilbert Boundary Value Problems in Complex and Quaternionic Analysis
ArticleAbstract: The aim of this paper is the study of a class of compound boundary value problems for the homogeneouPalabras claves:Quaternionic analysis, Riemann Hilbert problemsAutores:Reyes J.B., Ricardo Abreu Blaya, Tamayo-Castro C.D.Fuentes:scopusBoundary 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 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 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 for the lamé-navier system in fractal domains
ArticleAbstract: The aim of this paper is to establish a representation formula for the solutions of the Lamé-NavierPalabras claves:Clifford analysis, fractal boundaries, Lamé-Navier system, Linear elasticityAutores:García A.M., Mendez-Bermudez J.A., Ricardo Abreu Blaya, Sigarreta J.M.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:scopus