A Note on Li-Yau-Type Gradient Estimate
Sign Up to like & getrecommendations! Published in 2019 at "Acta Mathematica Scientia"
DOI: 10.1007/s10473-019-0420-2
Abstract: In this article, we obtain Li-Yau-type gradient estimates with time dependent parameter for positive solutions of the heat equation that are different with the estimates by Li-Xu [21] and Qian [23]. As an application of… read more here.
Keywords: type gradient; yau type; gradient estimate; note yau ... See more keywords
Local Hamilton Type Gradient Estimates for Nonlinear Parabolic Equations on Riemannian Manifolds
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Nonlinear Mathematical Physics"
DOI: 10.1007/s44198-024-00248-3
Abstract: In this paper, we present a new proof and attain some new local Hamilton type gradient estimates for positive solutions to the parabolic equation ut=ΔVup+aulogu+bu\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} u_{t}=\Delta… read more here.
Keywords: gradient estimates; type; hamilton type; type gradient ... See more keywords