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Ecuaciones Diferenciales Parciales, Análisis de Clifford y Física Matemática
OtherAbstract: In recent years, the integral representation problems have been studied in many context and generaliPalabras claves:Autores:Antonio Di TeodoroFuentes:googleA Cauchy–Pompeiu Representation Formula Using Dirac Operator and its Applications in Some Piecewise Constant Structure Relations
OtherAbstract: In the present paper we use the piecewise constant structure relations of a Clifford algebra in ordePalabras claves:Autores:Antonio Di TeodoroFuentes:googleA Dirichlet Boundary Value Problem for Fractional Monogenic Functions in the Riemann–Liouville Sense
ArticleAbstract: This paper solves the Dirichlet boundary value problem of distinguishing domains for Clifford fractiPalabras claves:Dirichlet boundary value problem, Fractional Cauchy–Riemann operator, Fractional monogenic functions, Matrix representation of Clifford algebrasAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, David Armendáriz, Johan CeballosFuentes: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 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:googlescopusSolución para ecuaciones elípticas de segundo orden no homogéneas en álgebras de tipo Clifford
OtherAbstract: En el presente trabajo, nosotros usamos álgebras de Clifford generalizadas llamadas álgebras de tipoPalabras claves:Autores:Antonio Di TeodoroFuentes:googleSolution of the Initial Value Problem for a Linear Evolution Equation in a Clifford Type Algebra
ArticleAbstract: Initial value problems of type$$\partial_t{u} = L(t, x, u, \partial_{{x}_i}u), $$∂tu=L(t,x,u,∂xiu),$Palabras claves:Associated space, Initial value problem, Interior estimate, metamonogenic operatorAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Sapian M.Fuentes:googlescopusSome integral representation for meta-monogenic function in Clifford algebras depending on parameters
OtherAbstract: In recent years, the integral representation problems have been studied in many context and generaliPalabras claves:Autores:Antonio Di TeodoroFuentes:googleSufficient conditions for first-order differential operators to be associated with a q-metamonogenic operator in a Clifford type algebra
OtherAbstract: Consider the initial value problem ∂ tu= L (t, x, u,∂ xi u), u (0, x)= ϕ (x),Palabras claves:Autores:Antonio Di TeodoroFuentes:googleψ-weighted Cauchy-Riemann operators and some associated integral representation
ReviewAbstract: In the present work we introduce a weighted Cauchy-Riemann type operator in the complex plane, wherePalabras claves:Cauchy integral formula, Cauchy-Pompeiu integral formula, elliptic operator, Weighted Cauchy-Riemann operatorAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Carmen Judith Vanegas Espinoza, Eusebio Ariza GarcíaFuentes:googlescopus