Year: 2011
Journal of Partial Differential Equations, Vol. 24 (2011), Iss. 4 : pp. 324–333
Abstract
In this work we derive local gradient estimates of the Aronson-Bénilan type for positive solutions of porous medium equations under Ricci flow with bounded Ricci curvature. As an application, we derive a Harnack type inequality.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v24.n4.4
Journal of Partial Differential Equations, Vol. 24 (2011), Iss. 4 : pp. 324–333
Published online: 2011-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Aronson-Bénilan estimate
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Gradient estimates for porous medium equations under the Ricci flow
Shen, Li-ju
Yao, Sha
Zhang, Guang-ying
Ren, Xin-an
Applied Mathematics-A Journal of Chinese Universities, Vol. 31 (2016), Iss. 4 P.481
https://doi.org/10.1007/s11766-016-3368-1 [Citations: 2]