11 citations · 30 across the 15 of their papers we have counts for
4 papers · 1 filter
The Dirichlet problem for a non-commutative elliptic operator in the ball
A. Moreno García, D. Alfonso Santiesteban, R. Abreu Blaya
In this paper we establish a necessary and sufficient condition for the solvability of the Dirichlet problem in the unit ball for the second order system $\partial_{\u…
Revisiting Fischer decompositions by inframonogenic functions
Daniel Alfonso Santiesteban, Ricardo Abreu Blaya, Juan Bory Reyes +1
We explore Fischer decompositions from the perspective of inframonogenic functions in Clifford analysis, a non-commutative version of harmonic functions in Euclidean spaces. We stu…
Magnetic Dirichlet Laplacian on a perturbed twisted tube
Diana Barseghyan, Ricardo Abreu Blaya, Juan Bory-Reyes +1
It is well known that the spectrum of the Dirichlet Laplacian for a compact perturbation of a three-dimensional, periodically twisted tube is unstable with respect to domain deform…
Hardy decomposition of first order Lipschitz functions by Lamé-Navier solutions
Daniel Alfonso Santiesteban, Ricardo Abreu Blaya, Daniel Alpay
The Clifford algebra language allows us to rewrite the Lamé-Navier system in terms of the Euclidean Dirac operator. In this paper, the main question we shall be concerned with is w…