In this paper we prove existence and regularity results for a class of semilinear evolution equations that are satisfied by vector potentials associated with Maxwell’s equations in Carnot groups (connected, simply connected, stratified nilpotent Lie groups). The natural setting for these equations is provided by the so-called Rumin’s complex of intrinsic differential forms.
Bruno Franchi, Enrico Obrecht, Eugenio Vecchi (2013). On a class of semilinear evolution equations for vector potentials associated with Maxwell's equations in Carnot groups. NONLINEAR ANALYSIS, 90, 56-69 [10.1016/j.na.2013.05.019].
On a class of semilinear evolution equations for vector potentials associated with Maxwell's equations in Carnot groups
FRANCHI, BRUNO;OBRECHT, ENRICO;VECCHI, EUGENIO
2013
Abstract
In this paper we prove existence and regularity results for a class of semilinear evolution equations that are satisfied by vector potentials associated with Maxwell’s equations in Carnot groups (connected, simply connected, stratified nilpotent Lie groups). The natural setting for these equations is provided by the so-called Rumin’s complex of intrinsic differential forms.File in questo prodotto:
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