Calculus of Variations and Geometric Measure Theory
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B. Franchi - E. Obrecht - E. Vecchi

On a class of semilinear evolution equations for vector potentials associated with Maxwell's equations in Carnot groups

created by franchib on 25 Apr 2013

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Inserted: 25 apr 2013
Last Updated: 25 apr 2013

Year: 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.


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