- October 2, 2009 , Friday - 15h00 (Room
P
3.10):
Equivalent regularization of Maxwell's equations
Roland Duduchava
(Andrea Razmadze Mathematical Institute, Tbilisi, Georgia)
Abstract. We study the scattering of
time-harmonic electromagnetic waves by a closed or an open
surfaces surrounded by an anisotropic medium. The corresponding
system is non-elliptic and the "electric" and "magnetic" boundary
conditions are non-normal. For the complex valued (non-real) frequency
parameter the Dirichlet type "electric" boundary value problem
(BVP) is equivalently reduced to the Neumann type "magnetic" BVP,
which in final analysis is reduced to an equivalent elliptic BVP in a
space of functions orthogonal to a certain vector. Using potential
method and tools of pseudodifferential operators the unique
solvability and regularity results of the equivalent BVPs are proved
for real valued, constant, positive definite and symmetric
permeability and permittivity matrices.
The talk is based upon joint work with O. Chkadua and D. Kapanadze.
Seminars take place in Lisbon, I.S.T. -
Post Graduation Building
Webpage: http://www.math.ist.utl.pt/funcional
