Subcriticality of subordinated Schr\"{o}dinger operators and their application to wave equations
Analysis of PDEs
2026-04-10 v1 Probability
Abstract
We provide a probabilistic characterization of criticality, subcriticality, and supercriticality for subordinated Schr\"{o}dinger operators. We also investigate the relationship between the subcriticality of these operators and the uniform boundedness of solutions to the associated wave equation.
Keywords
Cite
@article{arxiv.2604.07845,
title = {Subcriticality of subordinated Schr\"{o}dinger operators and their application to wave equations},
author = {Takumu Ooi and Motohiro Sobajima},
journal= {arXiv preprint arXiv:2604.07845},
year = {2026}
}
Comments
38 pages