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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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
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spelling doaj-58023b600b78468fbf73b5b2ec0a90132020-11-24T22:16:06ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912003-08-0120038618Estimates for derivatives of the Green functions for the noncoercive differential operators on homogeneous manifolds of negative curvature, IIRoman UrbanWe 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]. http://ejde.math.txstate.edu/Volumes/2003/86/abstr.htmlGreen functionhomogeneous manifolds of negative curvatureNA groupsevolutions on nilpotent Lie groups.
collection DOAJ
language English
format Article
sources DOAJ
author Roman Urban
spellingShingle Roman Urban
Estimates for derivatives of the Green functions for the noncoercive differential operators on homogeneous manifolds of negative curvature, II
Electronic Journal of Differential Equations
Green function
homogeneous manifolds of negative curvature
NA groups
evolutions on nilpotent Lie groups.
author_facet Roman Urban
author_sort Roman Urban
title Estimates for derivatives of the Green functions for the noncoercive differential operators on homogeneous manifolds of negative curvature, II
title_short Estimates for derivatives of the Green functions for the noncoercive differential operators on homogeneous manifolds of negative curvature, II
title_full Estimates for derivatives of the Green functions for the noncoercive differential operators on homogeneous manifolds of negative curvature, II
title_fullStr Estimates for derivatives of the Green functions for the noncoercive differential operators on homogeneous manifolds of negative curvature, II
title_full_unstemmed Estimates for derivatives of the Green functions for the noncoercive differential operators on homogeneous manifolds of negative curvature, II
title_sort estimates for derivatives of the green functions for the noncoercive differential operators on homogeneous manifolds of negative curvature, ii
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2003-08-01
description 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].
topic Green function
homogeneous manifolds of negative curvature
NA groups
evolutions on nilpotent Lie groups.
url http://ejde.math.txstate.edu/Volumes/2003/86/abstr.html
work_keys_str_mv AT romanurban estimatesforderivativesofthegreenfunctionsforthenoncoercivedifferentialoperatorsonhomogeneousmanifoldsofnegativecurvatureii
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