TY - JOUR
T1 - Inframonogenic functions and their applications in 3-dimensional elasticity theory
AU - Moreno García, Arsenio
AU - Moreno García, Tania
AU - Abreu Blaya, Ricardo
AU - Bory Reyes, Juan
N1 - Publisher Copyright:
Copyright © 2018 John Wiley & Sons, Ltd.
PY - 2018/7/15
Y1 - 2018/7/15
N2 - Solutions of the sandwich equation ∂x_f∂x_=0, where ∂x_ stands for the first-order differential operator (called Dirac operator) in the Euclidean space ℝm, are known as inframonogenic functions. These functions generalize in a natural way the theory of kernels associated with ∂x_, the nowadays well-known monogenic functions, and can be viewed also as a refinement of the biharmonic ones. In this paper we deepen study the connections between inframonogenic functions and the solutions of the homogeneous Lamé-Navier system in ℝ3. Our findings allow to shed some new light on the structure of the solutions of this fundamental system in 3-dimensional elasticity theory.
AB - Solutions of the sandwich equation ∂x_f∂x_=0, where ∂x_ stands for the first-order differential operator (called Dirac operator) in the Euclidean space ℝm, are known as inframonogenic functions. These functions generalize in a natural way the theory of kernels associated with ∂x_, the nowadays well-known monogenic functions, and can be viewed also as a refinement of the biharmonic ones. In this paper we deepen study the connections between inframonogenic functions and the solutions of the homogeneous Lamé-Navier system in ℝ3. Our findings allow to shed some new light on the structure of the solutions of this fundamental system in 3-dimensional elasticity theory.
KW - Clifford analysis
KW - Lamé system
KW - inframonogenic functions
KW - linear elasticity
UR - http://www.scopus.com/inward/record.url?scp=85044383181&partnerID=8YFLogxK
U2 - 10.1002/mma.4850
DO - 10.1002/mma.4850
M3 - Artículo
SN - 0170-4214
VL - 41
SP - 3622
EP - 3631
JO - Mathematical Methods in the Applied Sciences
JF - Mathematical Methods in the Applied Sciences
IS - 10
ER -