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:	Green function second-order differential operators NA groups Bessel process evolutions on nilpotent Lie groups.
Online Access:	http://ejde.math.txstate.edu/Volumes/2004/145/abstr.html

id	doaj-3d1e7c2e7acb46d481053e13805ff1ae
record_format	Article
spelling	doaj-3d1e7c2e7acb46d481053e13805ff1ae2020-11-24T22:42:27ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912004-12-012004145110Estimates for the mixed derivatives of the Green functions on homogeneous manifolds of negative curvatureRoman UrbanWe 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].http://ejde.math.txstate.edu/Volumes/2004/145/abstr.htmlGreen functionsecond-order differential operatorsNA groupsBessel processevolutions on nilpotent Lie groups.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Roman Urban
spellingShingle	Roman Urban Estimates for the mixed derivatives of the Green functions on homogeneous manifolds of negative curvature Electronic Journal of Differential Equations Green function second-order differential operators NA groups Bessel process evolutions on nilpotent Lie groups.
author_facet	Roman Urban
author_sort	Roman Urban
title	Estimates for the mixed derivatives of the Green functions on homogeneous manifolds of negative curvature
title_short	Estimates for the mixed derivatives of the Green functions on homogeneous manifolds of negative curvature
title_full	Estimates for the mixed derivatives of the Green functions on homogeneous manifolds of negative curvature
title_fullStr	Estimates for the mixed derivatives of the Green functions on homogeneous manifolds of negative curvature
title_full_unstemmed	Estimates for the mixed derivatives of the Green functions on homogeneous manifolds of negative curvature
title_sort	estimates for the mixed derivatives of the green functions on homogeneous manifolds of negative curvature
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2004-12-01
description	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].
topic	Green function second-order differential operators NA groups Bessel process evolutions on nilpotent Lie groups.
url	http://ejde.math.txstate.edu/Volumes/2004/145/abstr.html
work_keys_str_mv	AT romanurban estimatesforthemixedderivativesofthegreenfunctionsonhomogeneousmanifoldsofnegativecurvature
_version_	1725699859315425280

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

Similar Items