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Fundamental 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:googlescopusInterior L<inf>p</inf>-Estimates for Functions in Clifford Type Algebras
ArticleAbstract: In this paper we give estimates for the first order derivatives of Clifford-type algebras valued funPalabras claves:generalized monogenic functions, integral representations, Interior estimates, monogenic functions in Clifford type algebrasAutores:Bolívar Y., Carmen Judith Vanegas Espinoza, Eusebio Ariza García, Mármol L.G.Fuentes:scopusTheory of Integral Operators in Parametric Clifford Type Algebras
ArticleAbstract: We develop a theory of integral operators in the Clifford type associative algebra depending on paraPalabras claves:Clifford algebras, Dirichlet boundary value problems, Integral operatorsAutores:Carmen Judith Vanegas Espinoza, Franklin A. VargasFuentes:scopus