Summary: In this paper, we will prove several generalized versions, dependent on different boundary conditions, of the classical Gaffney-Friedrichs inequality for differential forms on Heisenberg groups. In the first part of the paper, we will consider horizontal differential forms and the horizontal differential. In the second part, we shall prove the counterpart of these results in the context of Rumin’s complex.
Gaffney–Friedrichs inequality for differential forms on Heisenberg groups
Montefalcone F.;
2019
Abstract
Summary: In this paper, we will prove several generalized versions, dependent on different boundary conditions, of the classical Gaffney-Friedrichs inequality for differential forms on Heisenberg groups. In the first part of the paper, we will consider horizontal differential forms and the horizontal differential. In the second part, we shall prove the counterpart of these results in the context of Rumin’s complex.
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FMS_Revista_Iberoamericana.pdf
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