Criticality and subcriticality of generalized Schr\"odinger forms with non-local perturbations

Liping Li

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arXiv · 1603.07038

Criticality and subcriticality of generalized Schr\"odinger forms with non-local perturbations

Liping Li

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Abstract

In this paper, we shall treat the Schr\"odinger forms with non-local perturbations. We first extend the definitions of subcriticality, criticality and supercriticality for the Schr\"odinger 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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Liping Li. 2016-03-23. Criticality and subcriticality of generalized Schr\"odinger forms with non-local perturbations. https://arxiv.org/abs/1603.07038

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