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Advances in Applied Clifford Algebras(4)
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A 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 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:googlescopusAsymptotic 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:googlescopusGeneral 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:googlescopusFirst Order Differential Operators Associated to the Space of q-Monogenic Functions
ArticleAbstract: In this paper we characterize all the first order differential operators, with paravector coefficienPalabras claves:Associated spaces, Clifford-type algebras, Initial value problems, q-monogenic functionsAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Carmen Judith Vanegas Espinoza, Eusebio Ariza GarcíaFuentes:googlescopusInterior estimates in the sup-norm for a class of generalized functions with integral representations
ArticleAbstract: In this paper we construct apriori estimates for the first order derivatives in the sup-norm for firPalabras claves:Clifford type algebras, Initial value problems of Cauchy-Kovaleskaya type, Interior estimates of solutions of elliptic equations, Meta-monogenic functionsAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Carmen Judith Vanegas Espinoza, Eusebio Ariza GarcíaFuentes:googlescopusSpectral analysis of the semigroup associated to a mixed functional differential equation
ArticleAbstract: In this article we present an spectral analysis of the semigroup associated to certain mixed functioPalabras claves:Asymptotic distribution of eigenvalues, Mixed functional differential equations, SemigroupsAutores:Carmen Judith Vanegas Espinoza, Iakovleva V.Fuentes:googlescopusOperators Associated to the Cauchy-Riemann Operator in Elliptic Complex Numbers
ArticleAbstract: In this article we provide a generalized version of the result of L. H. Son and W. Tutschke [2] on tPalabras claves:Associated differential operator, Initial value problems, parameter-depending elliptic complex numbersAutores:Alayón-Solarz D., Carmen Judith Vanegas EspinozaFuentes:googlescopus