On the well-posedness of boundary value problems for higher order Dirac operators in Rm

DA Santiesteban, RA Blaya, JB Reyes - Journal of Differential Equations, 2025 - Elsevier
Clifford analysis offers suited framework for a unified treatment of higher-dimensional
phenomena. This paper is concerned with boundary value problems for higher order Dirac …

Representation of Quaternionic -hyperholomorphic Functions

T Kuzmenko, V Shpakivskyi - arXiv preprint arXiv:2311.08522, 2023 - arxiv.org
In the algebra of complex quaternions $\mathbb {H (C)} $ we consider for the first time left-
and right-$\psi $-hyperholomorphic functions. We justify the transition in left-and right-$\psi …

On the Dirichlet problem for generalized Lamé–Navier systems in Clifford analysis

DA Santiesteban - Boletín de la Sociedad Matemática Mexicana, 2024 - Springer
The Clifford algebra language allows us to consider natural generalizations of the Lamé–
Navier system. The aim of this paper is to study the Dirichlet problem for these generalized …

Representations of Some Classes of Quaternionic Hyperholomorphic Functions

T Kuzmenko, V Shpakivskyi - Complex Analysis and Operator Theory, 2024 - Springer
In the algebra of complex quaternions H (C) we consider the left–and right–ψ–
hyperholomorphic functions, and left–Λ-ψ–hyperholomorphic functions. We justify the …

A note on higher order Dirac operators in Clifford analysis

D Alfonso Santiesteban - Georgian Mathematical Journal, 2025 - degruyter.com
A note on higher order Dirac operators in Clifford analysis Skip to content Should you have
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Reconstrucción de campos multivectoriales a partir del análisis de Clifford

R Abreu-Blaya, J Bory-Reyes… - Revista de la Academia …, 2024 - raccefyn.co
El análisis de Clifford tiene muchas aplicaciones inesperadas en geometría diferencial y
análisis global. Es el caso del tratamiento efectivo de las rotaciones en espacios …

sobre algunos operadores lineales en análisis de clifford

DA Santiesteban - Revista de Matemática: Teoría y Aplicaciones, 2024 - dialnet.unirioja.es
A finales de los anos 70, el término análisis de Clifford fue empleado por primera vez por el
matemático norteamericano John Ryan. Han pasado varias décadas y esta autónoma …

On the Well-Posedness of Boundary Value Problems for Higher Order Dirac Operators in RM

D Alfonso Santiesteban, R Abreu Blaya… - Ricardo and Reyes …, 2025 - papers.ssrn.com
Clifford analysis offers suited framework for a unified treatment of higher-dimensional
phenomena. This paper is concerned with boundary value problems for higher order Dirac …

‐problem for a second‐order elliptic system in Clifford analysis

D Alfonso Santiesteban - Mathematical Methods in the Applied … - Wiley Online Library
In the framework of Clifford analysis, we study a second‐order elliptic (generally nonstrongly
elliptic) system of partial differential equations of the form: ν∂ x _ f ϑ∂ x _= 0 &# x0005E; …

[PDF][PDF] El problema de Riemann para el sistema de Lamé-Navier bidimensional The Riemann problem for the two-dimensional Lamé-Navier system

DEG Valencia, DA Santiesteban, RA Blaya - researchgate.net
Este trabajo está dedicado a estudiar un sistema de ecuaciones de la Teoría de la
Elasticidad Lineal: el sistema de Lamé-Navier. Mediante el Análisis Complejo, este sistema …