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

We consider the Green functions for second order non-coercive 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 the mixed derivatives of the Green functions that complements a p...

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Bibliographic Details
Main Author: Roman Urban
Format: Article
Language:English
Published: Texas State University 2003-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2003/86/abstr.html
Description
Summary:We consider the Green functions for second order non-coercive 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 the mixed derivatives of the Green functions that complements a previous work by the same author [17].
ISSN:1072-6691