Subcriticality of subordinated Schr\"{o}dinger operators and their application to wave equations

Takumu Ooi; Motohiro Sobajima

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arXiv · 2604.07845

Subcriticality of subordinated Schr\"{o}dinger operators and their application to wave equations

Takumu Ooi·Motohiro Sobajima

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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.

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Takumu Ooi, Motohiro Sobajima. 2026-04-09. Subcriticality of subordinated Schr\"{o}dinger operators and their application to wave equations. https://arxiv.org/abs/2604.07845

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