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VOL. 41 | 2003 Gaussian upper bounds for heat kernels of a class of nondivergence operators
Xuan Thinh Duong, El Maati Ouhabaz

Editor(s) Xuan Thinh Duong, Alan Pryde


Let $\Omega$ be a subset of a space of homogeneous type. Let $A$ be the infinitesimal generator of a positive semigroup with Gaussian kernel bounds on $L^2(\Omega)$. We then show Gaussian heat kernel bounds for operators of the type $bA$ where $b$ is a bounded, complex valued function.


Published: 1 January 2003
First available in Project Euclid: 18 November 2014

zbMATH: 1115.35314
MathSciNet: MR1994513

Rights: Copyright © 2003, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.


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