Cauchy representation formulas for Maxwell equations in 3-dimensional domains with fractal boundaries

DOI10.1007/s00574-015-0108-8zbMath1332.30071OpenAlexW2256114616MaRDI QIDQ905874

Juan Bory-Reyes, Rafael Ávila Ávila, Ramón Martin Rodríguez Dagnino, Ricardo Abreu-Blaya

Publication date: 28 January 2016

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-015-0108-8

zbMATH Keywords

Maxwell equationsquaternionic analysisfractal boundariesCauchy representation formulas

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (1)

The Riemann boundary value problem related to the time-harmonic Maxwell equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Maxwell's equations on Cantor sets: a local fractional approach
• Fractional vector calculus and fractional Maxwell's equations
• The Gauss-Green theorem for fractal boundaries
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Some properties of the Cauchy-type integral for the time harmonic Maxwell equations
• Quaternionic analysis and elliptic boundary value problems
• Boundary value problems and Hardy spaces associated to the Helmholtz equation in Lipschitz domains
• Electromagnetic fields in fractal continua
• Quaternionic time-harmonic Maxwell operator
• Higher order Teodorescu operators in quaternionic analysis related to the Helmholtz operator
• Fractal Drum, Inverse Spectral Problems for Elliptic Operators and a Partial Resolution of the Weyl-Berry Conjecture
• A function theory for the operator D-λ
• Boundary value problems for Dirac operators and Maxwell's equations in non‐smooth domains
• Boundary value problems for Dirac operators and Maxwell's equations in fractal domains
• Iterative Solutions for Electromagnetic Fields at Perfectly Reflective and Transmissive Interfaces Using Clifford Algebra and the Multidimensional Cauchy Integral
• ELECTROMAGNETIC FIELDS ON FRACTALS
• Inverse acoustic and electromagnetic scattering theory

This page was built for publication: Cauchy representation formulas for Maxwell equations in 3-dimensional domains with fractal boundaries