Estimates for the mixed derivatives of the Green functions on homogeneous manifolds of negative curvature

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 a...

Full description

Bibliographic Details
Main Author: Roman Urban
Format: Article
Language:English
Published: Texas State University 2004-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2004/145/abstr.html