Electromagnetic Riemann–Hilbert Boundary Value Problem in Fractal Domains of R2

Yudier Peña-Pérez, Ricardo Abreu-Blaya, Juan Bory-Reyes, Baruch Schneider

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

Resumen

In this paper we present a hyperholomorphic (associated to the Helmholtz equation) approach to the Riemann–Hilbert boundary value problem (RHBVP for short) in domains of R2 with h- summable boundaries. We apply our results to Maxwell’s system and study an electromagnetic RHBVP for the case time-harmonic. The study is based on a reformulation of the time-harmonic Maxwell system in terms of electromagnetic potentials. The main geometric ingredient is the h- summability condition assumed for domains’ boundaries, which are considered fractals.

Idioma originalInglés
Número de artículo189
PublicaciónJournal of Geometric Analysis
Volumen32
N.º7
DOI
EstadoPublicada - jul. 2022

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