Schauder Estimates for Germs by Scaling (2412.01486v2)

Published 2 Dec 2024 in math.AP and math.PR

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.

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