%0 Journal Article
%T Estimates for the mixed derivatives of the Green functions on homogeneous manifolds of negative curvature
%A Roman Urban
%J Electronic Journal of Differential Equations
%D 2004
%I Texas State University
%X We consider the Green functions for second-order left-invariant differential operators on homogeneous manifolds of negative curvature, being a semi-direct product of a nilpotent Lie group $N$ and $A=mathbb{R}^+$. We obtain estimates for mixed derivatives of the Green functions both in the coercive and non-coercive case. The current paper completes the previous results obtained by the author in a series of papers [14,15,16,19].
%K Green function
%K second-order differential operators
%K NA groups
%K Bessel process
%K evolutions on nilpotent Lie groups.
%U http://ejde.math.txstate.edu/Volumes/2004/145/abstr.html