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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 ℝ<sup>3</sup> for the equation D<sup>n</sup>Palabras 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 R<sup>3</sup> is solved for functions which are monogenic witPalabras 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: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:scopusSmooth solution of an initial value problem for a mixed-type differential difference equation
Conference ObjectAbstract: In this paper, we show the construction of the solution to the mixed type differential difference eqPalabras claves:Differential difference equations, Initial value problemsAutores:Carmen Judith Vanegas Espinoza, Iakovleva V.Fuentes:scopusSolutions and constrained null-controllability for a differential-difference equation
ArticleAbstract: A formula for the solution of a differential-difference equation is given, and then the correspondinPalabras claves:exact controllability, functional partial differential equations, mixed-type difference-differential equations, strongly continuous semigroupsAutores:Carmen Judith Vanegas Espinoza, Iakovleva V., Manzanilla R., Mármol L.G.Fuentes:scopusSolutions 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:scopusSpectral 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:googlescopus