Estimates for the mixed derivatives of the Green functions on homogeneous manifolds of negative curvature
dc.contributor.author | Urban, Roman | |
dc.date.accessioned | 2021-05-17T18:28:26Z | |
dc.date.available | 2021-05-17T18:28:26Z | |
dc.date.issued | 2004-12-07 | |
dc.description.abstract | 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 = 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.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 10 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Urban, 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.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/13566 | |
dc.language.iso | en | |
dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2004, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
dc.subject | Green function | |
dc.subject | Second-order differential operators | |
dc.subject | NA groups | |
dc.subject | Bessel process | |
dc.subject | Evolutions on nilpotent Lie groups | |
dc.title | Estimates for the mixed derivatives of the Green functions on homogeneous manifolds of negative curvature | |
dc.type | Article |