Airy and Schrödinger-type equations on looping-edge graphs

Published 15 Oct 2024 in math.AP | (2410.11729v2)

Abstract: The aim of this work is to study the Airy and Schr\"odinger operators on looping-edge graphs. Characterizations of extensions generating unitary and contractile dynamics are provided in terms of linear operators acting on Krein spaces associated to the boundary values at the vertex.

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