Let G be a free Carnot group (i.e. a connected simply connected nilpotent stratified free Lie group) of step 2. In this paper, we prove that the variational functional generated by "intrinsic" Maxwell's equations in G is the γ-limit of a sequence of classical (i.e. Euclidean) variational functionals associated with strongly anisotropic dielectric permittivity and magnetic permeability in the Euclidean space.
Baldi, A., Franchi, B. (2015). Maxwell's equations in anisotropic media and carnot groups as variational limits. ADVANCED NONLINEAR STUDIES, 15(2), 333-362 [10.1515/ans-2015-0204].
Maxwell's equations in anisotropic media and carnot groups as variational limits
BALDI, ANNALISA;FRANCHI, BRUNO
2015
Abstract
Let G be a free Carnot group (i.e. a connected simply connected nilpotent stratified free Lie group) of step 2. In this paper, we prove that the variational functional generated by "intrinsic" Maxwell's equations in G is the γ-limit of a sequence of classical (i.e. Euclidean) variational functionals associated with strongly anisotropic dielectric permittivity and magnetic permeability in the Euclidean space.File in questo prodotto:
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