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Advances in Applied Clifford Algebras(4)
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Bulletin of Computational Applied Mathematics(1)
Journal of Mathematical Control Science and Applications(1)
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Solutions of boundary value problems by fixed point methods in clifford analysis
ArticleAbstract: Boundary value problems for elliptic equations of type Lu = F in higher dimensions, can be reduced tPalabras claves:Boundary value problems, Clifford algebras, Fixed-point Theorems, Fundamental solutionsAutores:Carmen Judith Vanegas EspinozaFuentes:scopusFundamental Solutions for Second Order Elliptic Operators in Clifford-Type Algebras
ArticleAbstract: We show fundamental solutions for some second order elliptic operators in the framework of parameterPalabras claves:Clifford type algebras, elliptic operators, Fundamental solutions, integral representations formulaeAutores:Antonio Nicola Di Teodoro, Carmen Judith Vanegas Espinoza, Eusebio Ariza García, Infante A.Fuentes:scopusFundamental Solutions for the First Order Meta-Monogenic Operator
ArticleAbstract: Using Clifford-type algebras depending on parameters we give explicit representations for fundamentaPalabras claves:Cauchy-Pompeiu Formula, Clifford-type algebras depending on parameters, Fundamental solutions, metamonogenic functionsAutores:Antonio Nicola Di Teodoro, Carmen Judith Vanegas EspinozaFuentes:scopusGeneral Algebraic Structures of Clifford Type and Cauchy-Pompeiu Formulae for Some Piecewise Constant Structure Relations
ArticleAbstract: The paper starts with generalization of Clifford algebras using other structure relations which possPalabras claves:Cauchy-Pompeiu integral formula, Clifford type algebras, Fundamental solutions, piecewise constant structure relationsAutores:Carmen Judith Vanegas Espinoza, Tutschke W.Fuentes:googlescopusGeneralized Cauchy-Riemann-type operators and some integral representation formulas
Conference ObjectAbstract: We introduce some generalized Cauchy-Riemann-type operators. For some of them we give integral reprePalabras claves:Boundary value problems, Cauchy-Riemann operators, Clifford algebras, Fundamental solutionsAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Bolívar Y., Carmen Judith Vanegas EspinozaFuentes:googlescopusOn Weighted Dirac Operators and Their Fundamental Solutions for Anisotropic Media
ArticleAbstract: The heat transfer problem in isotropic media has been studied extensively in Clifford analysis, butPalabras claves:Clifford algebras depending on parameters, Fundamental solutions, Second-order elliptic equationsAutores:Carmen Judith Vanegas Espinoza, Franklin A. VargasFuentes:scopusAnisotropic Newton’s kernel in the plane
ArticleAbstract: The goal of this paper is to construct a fundamental solution of the operator div(B∇) in the plane,Palabras claves:Fundamental solutions, integral representations, Weak solutionsAutores:Carmen Judith Vanegas Espinoza, Franklin Vargas JimenezFuentes:scopusOn weighted dirac operators and their fundamental solutions
ArticleAbstract: In this work we define a Dirac type operator with constants weights which factorizes the Laplace opePalabras claves:Clifford algebras, Dirac operators, Fundamental solutionsAutores:Carmen Judith Vanegas Espinoza, Franklin A. VargasFuentes:scopus