We show that the Harnack inequality for a class of degenerate parabolic quasilinear PDE associated to a system of Lipschitz continuous Hormander vector fields follows from the basic hypothesis of doubling condition and a weak Poincar\'e inequality.
Luca Capogna, Giovanna Citti, Garrett Rea (2013). A subelliptic analogue of Aronson–Serrin’s Harnack inequality. MATHEMATISCHE ANNALEN, 357(3), 1175-1198 [10.1007/s00208-013-0937-y].
A subelliptic analogue of Aronson–Serrin’s Harnack inequality
CITTI, GIOVANNA;
2013
Abstract
We show that the Harnack inequality for a class of degenerate parabolic quasilinear PDE associated to a system of Lipschitz continuous Hormander vector fields follows from the basic hypothesis of doubling condition and a weak Poincar\'e inequality.File in questo prodotto:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
