scholarly journals Heat kernel estimates for the Bessel differential operator in half-line

2016 ◽  
Vol 289 (17-18) ◽  
pp. 2097-2107 ◽  
Author(s):  
Kamil Bogus ◽  
Jacek Małecki
Author(s):  
Zhongmin Qian

In the first part of this paper, Yau's estimates for positive L-harmonic functions and Li and Yau's gradient estimates for the positive solutions of a general parabolic heat equation on a complete Riemannian manifold are obtained by the use of Bakry and Emery's theory. In the second part we establish a heat kernel bound for a second-order differential operator which has a bounded and measurable drift, using Girsanov's formula.


2009 ◽  
Vol 146 (3-4) ◽  
pp. 361-399 ◽  
Author(s):  
Zhen-Qing Chen ◽  
Panki Kim ◽  
Renming Song

2000 ◽  
Vol 32 (4) ◽  
pp. 477-483 ◽  
Author(s):  
Bernd Metzger ◽  
Peter Stollmann

2014 ◽  
Vol 213 (1) ◽  
pp. 215-243 ◽  
Author(s):  
Gabriele Grillo ◽  
Hynek Kovařík ◽  
Yehuda Pinchover

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