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Super and weak Poincaré inequalities for hypoelliptic operators

Super and weak Poincaré inequalities for hypoelliptic operators Sufficient conditions are presented for super/weak Poincaré inequalities to hold for a class of hypoelliptic operators on noncompact manifolds. As applications, the essential spectrum and the convergence rate of the associated Markov semigroup are described for Gruschin type operators on ℝ2 and Kohn-Laplacian type operators on the Heisenberg group. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Super and weak Poincaré inequalities for hypoelliptic operators

Acta Mathematicae Applicatae Sinica , Volume 25 (4) – Sep 8, 2009

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Publisher
Springer Journals
Copyright
Copyright © 2009 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer Berlin Heidelberg
Subject
Mathematics; Theoretical, Mathematical and Computational Physics; Math Applications in Computer Science; Applications of Mathematics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-008-8817-z
Publisher site
See Article on Publisher Site

Abstract

Sufficient conditions are presented for super/weak Poincaré inequalities to hold for a class of hypoelliptic operators on noncompact manifolds. As applications, the essential spectrum and the convergence rate of the associated Markov semigroup are described for Gruschin type operators on ℝ2 and Kohn-Laplacian type operators on the Heisenberg group.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Sep 8, 2009

References