TY - JOUR
T1 - Compound Riemann Hilbert Boundary Value Problems in Complex and Quaternionic Analysis
AU - Bory Reyes, Juan
AU - Tamayo Castro, Carlos Daniel
AU - Blaya, Ricardo Abreu
N1 - Publisher Copyright:
© 2016, Springer International Publishing.
PY - 2017/6/1
Y1 - 2017/6/1
N2 - The aim of this paper is the study of a class of compound boundary value problems for the homogeneous Dirac equation in two and three dimensions where one of the two boundary conditions (linear conjugation) is loaded. It is shown how the lack of commutativity inherent in the quaternionic product, paradoxically relaxes the conditions to guarantee the solvability of considered problems. Some examples illustrating the results are presented.
AB - The aim of this paper is the study of a class of compound boundary value problems for the homogeneous Dirac equation in two and three dimensions where one of the two boundary conditions (linear conjugation) is loaded. It is shown how the lack of commutativity inherent in the quaternionic product, paradoxically relaxes the conditions to guarantee the solvability of considered problems. Some examples illustrating the results are presented.
KW - Quaternionic analysis
KW - Riemann Hilbert problems
UR - http://www.scopus.com/inward/record.url?scp=84982840758&partnerID=8YFLogxK
U2 - 10.1007/s00006-016-0710-x
DO - 10.1007/s00006-016-0710-x
M3 - Artículo
SN - 0188-7009
VL - 27
SP - 977
EP - 991
JO - Advances in Applied Clifford Algebras
JF - Advances in Applied Clifford Algebras
IS - 2
ER -