Kato's inequality and Liouville theorems on locally finite graphs

Kato's inequality and Liouville theorems on locally finite graphs

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摘要 In this paper,we study the Kato's inequality on locally finite graphs.We also study the application of Kato's inequality to Ginzburg-Landau equations on such graphs.Interesting properties of elliptic and parabolic equations on the graphs and a Liouville type theorem are also derived. In this paper, we study the Kato＇s inequality on locally finite graphs. We also study the applica- tion of Kato＇s inequality to Ginzburg-Landau equations on such graphs. Interesting properties of elliptic and parabolic equations on the graphs and a Liouville type theorem are also derived.

作者 MA Li WANG XiangYang

机构地区 Department of Mathematics Department of Mathematics

出处《Science China Mathematics》 SCIE 2013年第4期771-776,共6页 中国科学：数学（英文版）

基金 supported by National Natural Science Foundation of China (Grant No.10631020) Doctoral Program Foundation of the Ministry of Education of China (Grant No. 20090002110019)

关键词 locally finite graph Kato＇s inequality Ginzburg-Landau equation Liouville theorem 刘维定理 Ginzburg-Landau方程有限图抛物线方程不等式椭圆形图形

分类号 O178 [理学—基础数学]

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Kato's inequality and Liouville theorems on locally finite graphs

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