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Local elliptic gradient estimates for a nonlinear parabolic equation under the Ricci flow

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Abstract In this study, we derive local elliptic (Hamilton type and Souplet–Zhang type) gradient estimates for positive solutions of the nonlinear parabolic partial differential equation ( Δ t − ∂… Click to show full abstract

Abstract In this study, we derive local elliptic (Hamilton type and Souplet–Zhang type) gradient estimates for positive solutions of the nonlinear parabolic partial differential equation ( Δ t − ∂ t ) u = q u + a u ( ln ⁡ u ) α under the Ricci flow.

Keywords: ricci flow; gradient estimates; nonlinear parabolic; local elliptic; equation ricci

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019

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