Kato's inequality and Liouville theorems on locally finite graphs

Details Kato's inequality and Liouville theorems on locally finite graphs Kato's inequality and Liouville theorems on locally finite graphs

2011-04-14

arxiv.org/abs/1104.2697v1

Mathematics

Analysis of PDEs

8 pages

Scientific paper

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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