Estimates of Green functions and their applications for parabolic operators with singular potentials
Lotfi Riahi
Colloquium Mathematicae, Tome 96 (2003), p. 267-283 / Harvested from The Polish Digital Mathematics Library
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We prove global pointwise estimates for the Green function of a parabolic operator with potential in the parabolic Kato class on a C1,1 cylindrical domain Ω. We apply these estimates to obtain a new and shorter proof of the Harnack inequality [16], and to study the boundary behavior of nonnegative solutions.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:284517 
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Lotfi Riahi. Estimates of Green functions and their applications for parabolic operators with singular potentials. Colloquium Mathematicae, Tome 96 (2003) pp. 267-283. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm95-2-10/