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.

Maxwell's equations in anisotropic media and carnot groups as variational limits / Baldi, Annalisa; Franchi, Bruno. - In: ADVANCED NONLINEAR STUDIES. - ISSN 1536-1365. - STAMPA. - 15:2(2015), pp. 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.
2015
Maxwell's equations in anisotropic media and carnot groups as variational limits / Baldi, Annalisa; Franchi, Bruno. - In: ADVANCED NONLINEAR STUDIES. - ISSN 1536-1365. - STAMPA. - 15:2(2015), pp. 333-362. [10.1515/ans-2015-0204]
Baldi, Annalisa; Franchi, Bruno
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/531556
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