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Advances in Applied Clifford Algebras(6)
Complex Variables and Elliptic Equations(3)
Quaestiones Mathematicae(3)
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Associated Spaces in Clifford Analysis
ArticleAbstract: In this paper we give a characterization of all linear first order partial differential operators wiPalabras claves:Associated spaces, Clifford algebras, Initial value problems, Monogenic functionsAutores:Bolívar Y., Carmen Judith Vanegas Espinoza, Lezama L., Mármol L.G.Fuentes:scopusAsymptotic formulas for the solutions of integro-differential equations
ArticleAbstract: We study the problem of asymptotic integration of the linear integro-differential equation ft x(n)(tPalabras claves:Autores:Carmen Judith Vanegas Espinoza, Naulin R.Fuentes:googlescopusA Dirichlet Problem for the First Order Inhomogeneous Meta-Monogenic Equation in Parameter Depending Clifford Algebras
ArticleAbstract: Using Clifford-type algebras depending on parameters we solve a Dirichlet problem for the first ordePalabras claves:Clifford-type algebras depending on parameters, Dirichlet problem, Meta-monogenic functionsAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Carmen Judith Vanegas EspinozaFuentes:googlescopusA Dirichlet problem for powers of the generalized Cauchy-Riemann operator
ArticleAbstract: Abstract: In this paper we solve a Dirichlet problem in ℝ3 for the equation Dnu = 0, where Dn is thePalabras claves:Clifford-type algebras depending on parameters, Dirichlet problems in Clifford analysis, powers of the generalized Cauchy-Riemann operatorAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Carmen Judith Vanegas EspinozaFuentes:googlescopusA Robin boundary value problem in the upper half plane for the Bitsadze equation
ArticleAbstract: In this article we give the solvability conditions and an integral representation of the solution ofPalabras claves:Bitsadze equation, Robin boundary conditionAutores:Carmen Judith Vanegas Espinoza, Linares Y.Fuentes:scopusA boundary value problem for monogenic functions in parameter-depending Clifford algebras
ArticleAbstract: In this article a Dirichlet problem in R3 is solved for functions which are monogenic with respect tPalabras claves:A Dirichlet problem for monogenic functions, Clifford algebras depending on parameters, Monogenic functionsAutores:Carmen Judith Vanegas Espinoza, Tutschke W.Fuentes:googlescopusA note on the controllability of linear first order systems with holomorphic initial functions in elliptic complex numbers
ArticleAbstract: In this paper we characterize the constrained null-controllability of a large family of linear firstPalabras claves:Constrained null-controllability, Elliptic complex numbers, Initial value problems, strongly continuous semigroupsAutores:Carmen Judith Vanegas Espinoza, Mármol L.G.Fuentes: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:scopusGeneralized 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:googlescopusFirst Order Differential Operators Associated to the Space of Monogenic Functions in Parameter-Depending Clifford Algebras
ArticleAbstract: This paper is aimed at finding all linear first order partial differential operators (Formula presenPalabras claves:Associated spaces, Initial value problems, Parameter-depending Clifford algebrasAutores:Carmen Judith Vanegas Espinoza, Eusebio Ariza García, Franklin A. VargasFuentes:scopus