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Estimates for Derivatives of the Green Functions for Noncoercive Differential Operators on Homogeneous Manifolds of Negative Curvature

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Abstract

We consider the Green functions G for second-order noncoercive differential operators on homogeneous manifolds of negative curvature, being a semi-direct product of a nilpotent Lie group N and A=R +. Using some probabilistic and analytic techniques we obtain estimates for derivatives of the Green functions G with respect to the N and A-variables.

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  1. Institute of Mathematics, University of Wroclaw, Pl. Grunwaldzki 2/4, 50-384, Wroclaw, Poland

    Roman Urban

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  1. Roman Urban
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Urban, R. Estimates for Derivatives of the Green Functions for Noncoercive Differential Operators on Homogeneous Manifolds of Negative Curvature. Potential Analysis 19, 317–339 (2003). https://doi.org/10.1023/A:1024124602037

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