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Media type:
E-Article
Title:
Heat Kernels of Multiplicative Perturbations: Hölder Estimates and Gaussian Lower Bounds
Contributor:
Ouhabaz, El Maati
Published:
Department of Mathematics INDIANA UNIVERSITY, 1998
Published in:
Indiana University Mathematics Journal, 47 (1998) 4, Seite 1481-1495
Language:
English
ISSN:
0022-2518;
1943-5258
Origination:
Footnote:
Description:
<p>We study in an abstract setting heat kernels of multiplicative perturbations bA where b is a bounded measurable function. Our aim is to show that Hölder estimates and Gaussian lower bounds carry over from the heat kernel of A to the heat kernel of bA. In preparing these results we show that Hölder continuity estimates of heat kernels can be characterized in terms of Gagliardo-Nirenberg type inequalities.</p>