TY - JOUR
T1 - Cauchy representation formulas for Maxwell equations in 3-dimensional domains with fractal boundaries
AU - Abreu-Blaya, Ricardo
AU - Ávila-Ávila, Rafael
AU - Bory-Reyes, Juan
AU - Rodríguez-Dagnino, Ramón M.
N1 - Publisher Copyright:
© 2015, Sociedade Brasileira de Matemática.
PY - 2015/12/1
Y1 - 2015/12/1
N2 - The aim of this paper is to offer a new definition of Cauchy integral associated with Maxwell equations on 3-dimensional domains with fractal boundaries. This new Cauchy integral leads to several types of integral representation formulas, including the Cauchy representation formula for time-harmonic electromagnetic fields. Our approach is based on the framework of exploiting the close and well-defined connection between the quaternionic analysis and Maxwell equations.
AB - The aim of this paper is to offer a new definition of Cauchy integral associated with Maxwell equations on 3-dimensional domains with fractal boundaries. This new Cauchy integral leads to several types of integral representation formulas, including the Cauchy representation formula for time-harmonic electromagnetic fields. Our approach is based on the framework of exploiting the close and well-defined connection between the quaternionic analysis and Maxwell equations.
KW - Cauchy representation formulas
KW - Maxwell Equations
KW - fractal boundaries
UR - http://www.scopus.com/inward/record.url?scp=84950322213&partnerID=8YFLogxK
U2 - 10.1007/s00574-015-0108-8
DO - 10.1007/s00574-015-0108-8
M3 - Artículo
SN - 1678-7544
VL - 46
SP - 681
EP - 700
JO - Bulletin of the Brazilian Mathematical Society
JF - Bulletin of the Brazilian Mathematical Society
IS - 4
ER -