Schauder Estimates for Germs by Scaling
Analysis of PDEs
2025-03-27 v2 Probability
Abstract
In this expository note, we show that the blow-up arguments of L. Simon adapt well to the corresponding Schauder theory of germs used in the study of singular SPDEs. We illustrate this through some representative examples. As in the classical PDE framework, the argument relies only on the scaling properties of the germ semi-norms and the Liouville principle for the operator.
Cite
@article{arxiv.2412.01486,
title = {Schauder Estimates for Germs by Scaling},
author = {Jonas Sauer and Scott A. Smith},
journal= {arXiv preprint arXiv:2412.01486},
year = {2025}
}
Comments
Added section on discrete elliptic equations and appendix on a discrete Liouville theorem