Estimates for the mixed derivatives of the Green functions on homogeneous manifolds of negative curvature
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].
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.Rights License

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