Dirichlet Type Problem for 2D Quaternionic Time‐Harmonic Maxwell System in Fractal Domains

Yudier Peña Pérez, Ricardo Abreu Blaya, Paul Bosch and Juan Bory Reyes

Advances in Mathematical Physics, 2020, vol. 2020, issue 1

Abstract: 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 R2. 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.

Date: 2020
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2020/4735357

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:4735357

Access Statistics for this article

More articles in Advances in Mathematical Physics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().