Estimates for the mixed derivatives of the Green functions on homogeneous manifolds of negative curvature
Files
Date
2004-12-07
Authors
Urban, Roman
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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].
Description
Keywords
Green function, Second-order differential operators, NA groups, Bessel process, Evolutions on nilpotent Lie groups
Citation
Urban, 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.
Rights
Attribution 4.0 International