Analysis of PDEs

[1] The existence of the solution of the wave equation on graphs

Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Yuanyuan Xie School of Mathematics, Renmin University of China, Beijing, 100872, China

Analysis of PDEs mathscidoc:2207.03011

arXiv, 2021.8
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[2] Semilinear heat equations and parabolic variational inequalities on graphs

Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Yuanyuan Xie School of Mathematics, Renmin University of China, Beijing, 100872, China

Analysis of PDEs mathscidoc:2207.03010

arXiv, 2021.8
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[3] Calculus of variations on locally finite graphs

Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Yunyan Yang Department of Mathematics, Renmin University of China, Beijing, 100872, China

Analysis of PDEs Combinatorics mathscidoc:2207.03009

Revista Matemática Complutense, 2021.9
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[4] A heat flow for the mean field equation on a finite graph

Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, People’s Republic of China Yunyan Yang Department of Mathematics, Renmin University of China, Beijing, 100872, People’s Republic of China

Analysis of PDEs Combinatorics mathscidoc:2207.03008

Calculus of Variations and Partial Differential Equations, 60, (206), 2021.8
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[5] Existence of Solutions to Mean Field Equations on Graphs

An Huang Department of Mathematics, Brandies University, Waltham, MA, USA Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, China Shing-Tung Yau Department of Mathematics, Harvard University, Cambridge, MA, USA

Analysis of PDEs mathscidoc:2207.03007

Communications in Mathematical Physics, 377, 613–621, 2020.2
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[6] Blow-up problems for nonlinear parabolic equations on locally finite graphs

Yong Lin Department of Mathematics, Renmin University of China, Beijing 100872, China Yiting Wu Department of Mathematics, Renmin University of China, Beijing 100872, China

Analysis of PDEs mathscidoc:2207.03006

Acta Mathematica Scientia, 38, (3), 843-856, 2018.5
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[7] Harnack and mean value inequalities on graphs

Yong Lin Department of Mathematics, Renmin University of China, Beijing 100872, China Hongye Song School of General Education, Beijing International Studies University, Beijing 100024, China; Department of Mathematics, Renmin University of China, Beijing 100872, China

Analysis of PDEs Differential Geometry mathscidoc:2207.03005

Acta Mathematica Scientia, 38, (6), 1751-1758, 2018.11
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[8] Log-Sobolev Inequalities on Graphs with Positive Curvature

Yong Lin Department of Mathematics, Renmin University of China Shuang Liu Department of Mathematics, Renmin University of China Hongye Song Department of Mathematics, Renmin University of China; Beijing International Studies University

Analysis of PDEs mathscidoc:2207.03004

Mathematical Physics and Computer Simulation, 20, (3), 99-110, 2017.9
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[9] On-diagonal lower estimate of heat kernels on graphs

Yong Lin Department of Mathematics, Renmin University of China, Beijing 100872, PR China Yiting Wu Department of Mathematics, Renmin University of China, Beijing 100872, PR China

Analysis of PDEs Combinatorics mathscidoc:2207.03003

Journal of Mathematical Analysis and Applications, 456, (2), 1040-1048, 2017.12
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[10] Existence of positive solutions to some nonlinear equations on locally finite graphs

Alexander Grigor’yan Department of Mathematics, University of Bielefeld, Bielefeld, 33501, Germany; School of Mathematical Sciences and Laboratory of Pure Mathematics and Combinatorics, Nankai University, Tianjin, 300071, China Yong Lin Department of Mathematics, Renmin University of China, Beijing, 100872, China YunYan Yang Department of Mathematics, Renmin University of China, Beijing, 100872, China

Analysis of PDEs mathscidoc:2207.03002

Science China Mathematics, 60, 1311–1324, 2017.4
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