Liouville type theorems and gradient estimates for nonlinear heat equations along ancient \(K\)-super Ricci flow via reduced geometry
type: Item
instance of: scholarly article
title: Liouville type theorems and gradient estimates for nonlinear heat equations along ancient \(K\)-super Ricci flow via reduced geometry
zbMATH Open document ID: 1506.53102
author: Ha Tuan Dung
author: Nguyen Tien Manh
author: Nguyen Dang Tuyen
published in: Journal of Mathematical Analysis and Applications
publication date: 2022-11-28T00:00:00Z
Mathematics Subject Classification ID: 53E20
Mathematics Subject Classification ID: 58J35
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B53
zbMATH DE Number: 7624129
zbMATH Keywords: super Ricci flows
zbMATH Keywords: reduced geometry
zbMATH Keywords: gradient Ricci soliton
zbMATH Keywords: Liouville-type theorem
zbMATH Keywords: Hamilton-type gradient estimate
Wikidata QID: Q123356905
MaRDI profile type: Publication
full work available at URL: j.jmaa.2022.126836
OpenAlex ID: W4308387060
cites work: The Ricci flow in Riemannian geometry. A complete proof of the differentiable 1/4-pinching sphere theorem
cites work: Compactness theory of the space of super Ricci flows
cites work: Gradient estimates for the heat equation under the Ricci flow
cites work: Q3435052
cites work: Ricci flow, entropy and optimal transportation
cites work: Sharp gradient estimates for a heat equation in Riemannian manifolds
cites work: Three-manifolds with positive Ricci curvature
cites work: A matrix Harnack estimate for the heat equation
cites work: Q4873981
cites work: Gradient estimate for a nonlinear heat equation on Riemannian manifolds
cites work: Liouville theorem for heat equation Along ancient super Ricci flow via reduced geometry
cites work: Liouville theorems for harmonic map heat flow along ancient super Ricci flow via reduced geometry
cites work: On the parabolic kernel of the Schrödinger operator
cites work: The \(W\)-entropy formula for the Witten Laplacian on manifolds with time dependent metrics and potentials
cites work: On Harnack inequalities for Witten Laplacian on Riemannian manifolds with super Ricci flows
cites work: Gradient estimates for a simple elliptic equation on complete non-compact Riemannian manifolds
cites work: Monotone volume formulas for geometric flows
cites work: Q5485637
cites work: SHARP GRADIENT ESTIMATE AND YAU'S LIOUVILLE THEOREM FOR THE HEAT EQUATION ON NONCOMPACT MANIFOLDS
cites work: Super-Ricci flows for metric measure spaces
cites work: Elliptic gradient estimates for a nonlinear heat equation and applications
cites work: On the $l$-function and the reduced volume of Perelman I
cites work: On the $l$-function and the reduced volume of Perelman II
cites work: Perelman's reduced volume and a gap theorem for the Ricci flow
DOI: 10.1016/J.JMAA.2022.126836
description: scientific article; zbMATH DE number 7624129