Some gradient estimates and Harnack inequalities for nonlinear parabolic equations on Riemannian manifolds

Wang Wen; Zhang Pan

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Some gradient estimates and Harnack inequalities for nonlinear parabolic equations on Riemannian manifolds

机译：黎曼歧管非线性抛物方程的一些梯度估计和哈纳克不等式

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In this paper, by the method of J. F. Li and X. J. Xu (Differential Harnack inequalities on Riemannian manifolds I: Linear heat equation, Adv. in Math., 226 (2011), 4456-4491), we shall consider the nonlinear parabolic equation

机译：本文通过J.F. Li和X. J.Xu（Riemannian歧管上的差分Harnack Inequalitience）：线性热方程，ADV。在数学中，226（2011），4456-4491），我们将考虑非线性抛物线方程

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来源
《Mathematische Nachrichten 》 |2017年第12期| 共13页
作者
Wang Wen; Zhang Pan;
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作者单位

Univ Sci &

Technol China Sch Math Sci Hefei 230026 Anhui Peoples R China;

Univ Sci &

Technol China Sch Math Sci Hefei 230026 Anhui Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类数学 ;
关键词
Nonlinear parabolic equation; gradient estimate; Liouville theorem; Harnack inequality;

机译：非线性抛物面方程;梯度估计;刘维尔定理;哈纳克不平等;

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1. Some gradient estimates and Harnack inequalities for nonlinear parabolic equations on Riemannian manifolds [J] . Wang Wen, Zhang Pan Mathematische Nachrichten . 2017 ,第11a12期

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2. Gradient estimates and differential Harnack inequalities for a nonlinear parabolic equation on Riemannian manifolds [J] . Guangyue Huang, Zhijie Huang, Haizhong Li Annals of Global Analysis and Geometry . 2013 ,第3期

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3. Gradient estimates and Harnack inequalities for Yamabe-type parabolic equations on Riemannian manifolds [J] . Ha Tuan Dung Differential geometry and its applications . 2018 ,第期

机译：riemannian歧管雅甲型抛物线方程的梯度估计和Harnack不等式
4. Heat Kernel Estimates, Sobolev-Type Inequalities and Riesz Transform on Noncompact Riemannian Manifolds [C] . Thierry Coulhon SMS 2011 . 2013

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5. Parabolic equations in sub-riemannian spaces: Boundary behavior of non-negative solutions, curvature-dimension inequalities, Li-Yau inequalities. [D] . Munive Lima, Isidro Humberto. 2013

机译：次黎曼空间中的抛物线方程：非负解的边界行为，曲率维不等式，Li-Yau不等式。
6. Gradient estimates for a nonlinear elliptic equation on smooth metric measure spaces and applications [O] . Abimbola Abolarinwa, Sulyman O. Salawu, Clement A. Onate 2019

机译：光滑度量尺度空间上非线性椭圆方程的梯度估计及其应用
7. Gradient estimates and Harnack inequalities for nonlinear parabolic and nonlinear elliptic equations on Riemannian manifolds [O] . Jiayu Li 1991

机译：黎曼流形上非线性抛物方程和非线性椭圆方程的梯度估计和Harnack不等式

Some gradient estimates and Harnack inequalities for nonlinear parabolic equations on Riemannian manifolds

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