Gradient estimates and Harnack inequalities for diffusion equation on Riemannian manifolds

Yue Wang

doi:10.1007/s11464-010-0080-y

Gradient estimates and Harnack inequalities for diffusion equation on Riemannian manifolds

Frontiers of Mathematics in China ◽

10.1007/s11464-010-0080-y ◽

2010 ◽

Vol 5 (4) ◽

pp. 727-746

Author(s):

Yue Wang

Keyword(s):

Diffusion Equation ◽

Riemannian Manifolds ◽

Gradient Estimates ◽

Harnack Inequalities

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Gradient estimates and Harnack inequalities on non-compact Riemannian manifolds

Stochastic Processes and their Applications ◽

10.1016/j.spa.2009.07.001 ◽

2009 ◽

Vol 119 (10) ◽

pp. 3653-3670 ◽

Cited By ~ 46

Author(s):

Marc Arnaudon ◽

Anton Thalmaier ◽

Feng-Yu Wang

Keyword(s):

Riemannian Manifolds ◽

Gradient Estimates ◽

Harnack Inequalities

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

Mathematische Nachrichten ◽

10.1002/mana.201500287 ◽

2016 ◽

Vol 290 (11-12) ◽

pp. 1905-1917 ◽

Cited By ~ 1

Author(s):

Wen Wang ◽

Pan Zhang

Keyword(s):

Riemannian Manifolds ◽

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Gradient Estimates ◽

Harnack Inequalities ◽

Nonlinear Parabolic

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Gradient estimates and Harnack inequalities for nonlinear parabolic and nonlinear elliptic equations on Riemannian manifolds

Journal of Functional Analysis ◽

10.1016/0022-1236(91)90110-q ◽

1991 ◽

Vol 100 (2) ◽

pp. 233-256 ◽

Cited By ~ 44

Author(s):

Li Jiayu

Keyword(s):

Riemannian Manifolds ◽

Elliptic Equations ◽

Nonlinear Elliptic Equations ◽

Gradient Estimates ◽

Harnack Inequalities ◽

Nonlinear Elliptic ◽

Nonlinear Parabolic

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Gradient estimates and differential Harnack inequalities for a nonlinear parabolic equation on Riemannian manifolds

Annals of Global Analysis and Geometry ◽

10.1007/s10455-012-9342-0 ◽

2012 ◽

Vol 43 (3) ◽

pp. 209-232 ◽

Cited By ~ 13

Author(s):

Guangyue Huang ◽

Zhijie Huang ◽

Haizhong Li

Keyword(s):

Parabolic Equation ◽

Riemannian Manifolds ◽

Nonlinear Parabolic Equation ◽

Gradient Estimates ◽

Harnack Inequalities ◽

Nonlinear Parabolic

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Some Gradient Estimates and Liouville Properties of the Fast Diffusion Equation on Riemannian Manifolds

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-021-0276-3 ◽

2021 ◽

Vol 42 (4) ◽

pp. 529-550

Author(s):

Wen Wang ◽

Rulong Xie ◽

Pan Zhang

Keyword(s):

Diffusion Equation ◽

Riemannian Manifolds ◽

Gradient Estimates ◽

Fast Diffusion ◽

Fast Diffusion Equation

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Gradient estimates and Harnack inequalities for Yamabe-type parabolic equations on Riemannian manifolds

Differential Geometry and its Applications ◽

10.1016/j.difgeo.2018.05.005 ◽

2018 ◽

Vol 60 ◽

pp. 39-48 ◽

Cited By ~ 2

Author(s):

Ha Tuan Dung

Keyword(s):

Riemannian Manifolds ◽

Parabolic Equations ◽

Gradient Estimates ◽

Harnack Inequalities

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Gradient estimates for the Fisher–KPP equation on Riemannian manifolds

Boundary Value Problems ◽

10.1186/s13661-018-0946-6 ◽

2018 ◽

Vol 2018 (1) ◽

Author(s):

Xin Geng ◽

Songbo Hou

Keyword(s):

Riemannian Manifolds ◽

Gradient Estimates ◽

Kpp Equation

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Gradient estimates for Neumann boundary value problem of Monge-Ampère type equations on Riemannian manifolds

Nonlinear Analysis ◽

10.1016/j.na.2016.11.007 ◽

2017 ◽

Vol 150 ◽

pp. 151-158 ◽

Cited By ~ 1

Author(s):

Xi Guo ◽

Ni Xiang

Keyword(s):

Boundary Value Problem ◽

Riemannian Manifolds ◽

Boundary Value ◽

Neumann Boundary ◽

Gradient Estimates ◽

Neumann Boundary Value Problem ◽

Monge Ampere

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Gradient estimates and Liouville type theorems for $$(p-1)^{p-1}\Delta _pu+au^{p-1}\log u^{p-1}=0$$ on Riemannian manifolds

Archiv der Mathematik ◽

10.1007/s00013-021-01639-4 ◽

2021 ◽

Author(s):

Bingqing Ma ◽

Mingfang Zhu

Keyword(s):

Riemannian Manifolds ◽

Gradient Estimates ◽

Liouville Type ◽

Liouville Type Theorems

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Gradient Estimates and Harnack Inequalities for Positive Solutions of $$\mathfrak{L}u=\frac{\partial u}{\partial t}$$ on Self-shrinkers

Acta Mathematica Sinica English Series ◽

10.1007/s10114-019-8137-7 ◽

2019 ◽

Vol 35 (7) ◽

pp. 1217-1226

Author(s):

Ye Cheng Zhu ◽

Qing Chen

Keyword(s):

Positive Solutions ◽

Gradient Estimates ◽

Harnack Inequalities

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