科研之友
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摘要
in cylinders Omega x ( 0, T) where Omega. M is an open subset of a manifold M endowed with control metric d corresponding to a system of Lipschitz continuous vector fields X = ( X-1,..., X-m) and a measure ds. We show that the Harnack inequality follows from the basic hypothesis of doubling condition and a weak Poincare inequality in the metric measure space ( M, d, ds). We also show that such hypothesis hold for a class of Riemannian metrics g epsilon collapsing to a sub-Riemannian metric lim epsilon. 0 g epsilon = g(0) uniformly in the parameter epsilon %26gt;= 0.
- 出版日期2013-11
