Estimates for derivatives of the Green functions for noncoercive differential operators on homogeneous manifolds of negative curvature

摘要

We consider the Green functions G for second-order noncoercive differential operators on homogeneous manifolds of negative curvature, being a semi-direct product of a nilpotent Lie group N and A = R+. Using some probabilistic and analytic techniques we obtain estimates for derivatives of the Green functions G with respect to the N and A-variables. [References: 15]