Urban, Roman2021-05-172021-05-172004-12-07Urban, 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. 1-10.1072-6691https://hdl.handle.net/10877/13566We 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].Text10 pages1 file (.pdf)enAttribution 4.0 InternationalGreen functionSecond-order differential operatorsNA groupsBessel processEvolutions on nilpotent Lie groupsArticle