Upper bounds of Hessian matrix and gradient estimates of positive solutions to the nonlinear parabolic equation along Ricci flow

DOI10.1016/j.na.2021.112548zbMath1486.53105OpenAlexW3193959493MaRDI QIDQ2238787

Wen Wang

Publication date: 2 November 2021

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2021.112548

zbMATH Keywords

nonlinear parabolic equationgradient estimateHarnack inequalityRicci flowHessian bound

Mathematics Subject Classification ID

Heat equation (35K05) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Ricci flows (53E20)

Related Items (2)

Gradient estimates of a nonlinear elliptic equation for the $V$-Laplacian on noncompact Riemannian manifolds ⋮ Gradient estimates for a general type of nonlinear parabolic equations under geometric conditions and related problems

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