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High order divergence-form elliptic operators on Lie groups

Published online by Cambridge University Press:  17 April 2009

A. F. M. ter Elst  and
Derek W. Robinson
A. F. M. ter Elst
Affiliation:
Department of Mathematics and Computing Science, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, The Netherlands
Derek W. Robinson
Affiliation:
Centre for Mathematics and its Applications, School of Mathematical Sciences, Australian National University, Canberra ACT 0200, Australia
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We give a straightforward proof that divergence-form elliptic operators of order m on a d-dimensional Lie group with m ≥ d have Hölder continuous kernels satisfying Gaussian bounds.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 55 , Issue 2 , April 1997 , pp. 335 - 348
Copyright
Copyright © Australian Mathematical Society 1997

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