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Solución 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:googleAbout the Dirichlet boundary value problem using Clifford Algebras
OtherAbstract: This paper reviews and summarizes the relevant literature on Dirichlet problems for monogenic functiPalabras claves:Autores:Antonio Di TeodoroFuentes:googleCauchy–Pompeiu Formula for Multi-meta-weighted-monogenic Functions of first class
OtherAbstract: In this paper we give a Cauchy–Pompeiu type integral formula for a class of functions called multi-mPalabras claves:Autores:Antonio Di TeodoroFuentes:googleAn Integral Representation Formula for Multi Meta- φ -Monogenic Functions of Second Class
ArticleAbstract: Consider the following operator (Formula presented.)where φ<sup>(</sup><sup>j</sup><sup>)</sup> is aPalabras claves:Clifford algebras, Clifford-type algebras depending on parameters, Metamonogenic function, Monogenic function, Multi meta-φ-monogenic function, Multi-meta-monogenic functionAutores:Antonio Di Teodoro, Antonio Nicola Di Teodoro, Eusebio Ariza GarcíaFuentes:googlescopusFundamental solution for natural powers of the fractional laplace and dirac operators in the Riemann–Liouville sense
OtherAbstract: In this paper, we study the fundamental solution of natural powers of the n-parameter fractional LapPalabras claves:Autores:Antonio Di TeodoroFuentes:googleFundamental solutions for the first order meta-monogenic operator
OtherAbstract: Using Clifford-type algebras depending on parameters we give explicit representations for fundamentaPalabras claves:Autores:Antonio Di TeodoroFuentes:googleGeneralized monogenic functions satisfying differential equations with anti-monogenic right-hand sides on Clifford algebras depending on parameters
ArticleAbstract: The equation Du = F(x, u) in Clifford algebras depending on parameters is considered, where D is thePalabras claves:anti-monogenic functions, Clifford algebras depending on parameters, generalized monogenic functions, interior L estimates p, interior L p estimates, Transition matrixAutores:Antonio Di Teodoro, Antonio Nicola Di TeodoroFuentes:googlescopus