4 papers
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…
Constructing steering-type solutions for higher order Cauchy-Riemann equations in
Daniel Alfonso Santiesteban, Dixan Peña Peña, Ricardo Abreu Blaya
The multidimensional Cauchy-Riemann operator provides a framework for studying higher order partial differential equations in , whose solutions include polymonoge…
Jump problem for generalized Lamé-Navier systems in
Daniel Alfonso Santiesteban, Ricardo Abreu Blaya, Daniel Alpay
This paper is devoted to study a fundamental system of equations in Linear Elasticity Theory: the famous Lamé-Navier system. The Clifford algebra language allows us to rewrite thi…