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

dc.contributor.authorUrban, Roman
dc.date.accessioned2021-05-17T18:28:26Z
dc.date.available2021-05-17T18:28:26Z
dc.date.issued2004-12-07
dc.description.abstractWe 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 = 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].
dc.description.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationUrban, R. (2004). Estimates for the mixed derivatives of the Green functions on homogeneous manifolds of negative curvature. Electronic Journal of Differential Equations, 2004(145), pp. 1-10.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13566
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2004, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectGreen function
dc.subjectSecond-order differential operators
dc.subjectNA groups
dc.subjectBessel process
dc.subjectEvolutions on nilpotent Lie groups
dc.titleEstimates for the mixed derivatives of the Green functions on homogeneous manifolds of negative curvature
dc.typeArticle

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