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. <i>Electronic Journal of Differential Equations, 2004</i>(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 curvatureen_US
dc.typeArticle

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