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arxiv: 1104.2697 · v1 · pith:LSGDCFCBnew · submitted 2011-04-14 · 🧮 math.AP · math.CA· math.DG· math.DS

Kato's inequality and Liouville theorems on locally finite graphs

classification 🧮 math.AP math.CAmath.DGmath.DS
keywords inequalitykatofinitegraphsliouvillelocallyapplicationderived
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In this paper we study the Kato' inequality on locally finite graph. We also study the application of Kato inequality to Ginzburg-Landau equations on such graphs. Interesting properties of Schrodinger equation and a Liouville type theorem are also derived.

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