Criticality and subcriticality of generalized Schrödinger forms with non-local perturbations

2016/03/23 by Li, Liping · 1 citation
#31C05 #31C25 #60J25 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1603.07038

Abstract

In this paper, we shall treat the Schrödinger forms with non-local perturbations. We first extend the definitions of subcriticality, criticality and supercriticality for the Schrödinger forms by Takeda in [IJM, 2015] to the non-local cases in the context of quasi-regular Dirichlet forms. Then we prove an analytic characterization of these definitions via the bottom of the spectrum set.

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