Criticality and subcriticality of generalized Schr\"odinger forms with non-local perturbations
Probability
2016-10-17 v3
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.
Keywords
Cite
@article{arxiv.1603.07038,
title = {Criticality and subcriticality of generalized Schr\"odinger forms with non-local perturbations},
author = {Liping Li},
journal= {arXiv preprint arXiv:1603.07038},
year = {2016}
}
Comments
11 pages