光滑度量測度空間上的拉普拉斯算子

We refer and study the works by Grigor'yan, Kondratiev, Sun, Mastrolia, Monticelli, Punzo and Zhang et al, which consider the weighted volume growth condition or the weighted integral of V, then there is nonexistence of positive weak solution of the differential inequality, or any nonnegative weak solution of the differential inequality must be zero. In this work, we try to extend these results and find the analogous properties in CR manifold. That is, we focus on closed weighted CR manifolds and study the nonnegative solution of the parabolic differential inequality with initial condition u_0>0.