Elliptic gradient estimates and Liouville theorems for a weighted nonlinear parabolic equation

Abolarinwa, Abimbola (2019) Elliptic gradient estimates and Liouville theorems for a weighted nonlinear parabolic equation. Journal of Mathematical Analysis and Applications, 473. pp. 297-312. ISSN 0022-247X

Text 1-s2.0-S0022247X18310886-main.pdf - Published Version Download (403kB)

Abstract

Let(MN,g,e−fdv)beacompletesmoothmetricmeasurespacewith∞-Bakry–ÉmeryRiccitensorboundedfrombelow.Wederiveellipticgradientestimatesforpositivesolutionsofaweightednonlinearparabolicequation(Δf−∂∂t)u(x, t)+q(x, t)uα(x, t)=0,where(x,t)∈MN×(−∞,∞)andαisanarbitraryconstant.AsApplicationsweproveaLiouville-typetheoremforpositiveancientsolutionsandHarnack-typeinequalitiesforpositiveboundedsolutions

Item Type:	Article
Subjects:	Q Science > QA Mathematics
Depositing User:	Mr DIGITAL CONTENT CREATOR LMU
Date Deposited:	27 May 2019 08:39
Last Modified:	27 May 2019 08:39
URI:	https://eprints.lmu.edu.ng/id/eprint/2164

Actions (login required)

View Item