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)

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

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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