TY - JOUR
T1 - Dirichlet Type Problem for 2D Quaternionic Time-Harmonic Maxwell System in Fractal Domains
AU - Pérez, Yudier Peña
AU - Blaya, Ricardo Abreu
AU - Bosch, Paul
AU - Reyes, Juan Bory
N1 - Publisher Copyright:
© 2020 Yudier Peña Pérez et al.
PY - 2020
Y1 - 2020
N2 - We investigate an electromagnetic Dirichlet type problem for the 2D quaternionic time-harmonic Maxwell system over a great generality of fractal closed type curves, which bound Jordan domains in R 2. The study deals with a novel approach of h -summability condition for the curves, which would be extremely irregular and deserve to be considered fractals. Our technique of proofs is based on the intimate relations between solutions of time-harmonic Maxwell system and those of the Dirac equation through some nonlinear equations, when both cases are reformulated in quaternionic forms.
AB - We investigate an electromagnetic Dirichlet type problem for the 2D quaternionic time-harmonic Maxwell system over a great generality of fractal closed type curves, which bound Jordan domains in R 2. The study deals with a novel approach of h -summability condition for the curves, which would be extremely irregular and deserve to be considered fractals. Our technique of proofs is based on the intimate relations between solutions of time-harmonic Maxwell system and those of the Dirac equation through some nonlinear equations, when both cases are reformulated in quaternionic forms.
UR - http://www.scopus.com/inward/record.url?scp=85079433514&partnerID=8YFLogxK
U2 - 10.1155/2020/4735357
DO - 10.1155/2020/4735357
M3 - Artículo
AN - SCOPUS:85079433514
SN - 1687-9120
VL - 2020
JO - Advances in Mathematical Physics
JF - Advances in Mathematical Physics
M1 - 4735357
ER -