Schauder estimates for stationary and evolution equations associated to stochastic reaction-diffusion equations driven by colored noise

We consider stochastic reaction-diffusion equations with colored noise and prove Schauder type estimates, which will depend on the color of the noise, for the stationary and evolution problems associated with the corresponding transition semigroup, defined on the Banach space of bounded and uniforml...

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Bibliographic Details
Published inarXiv.org
Main Authors Bignamini, Davide A, Ferrari, Simone
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 26.07.2022
Subjects
Banach spaces
Continuity (mathematics)
Diffusion
Estimates
Evolution
Mathematical analysis
Mathematics - Analysis of PDEs
Reaction-diffusion equations
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Summary:We consider stochastic reaction-diffusion equations with colored noise and prove Schauder type estimates, which will depend on the color of the noise, for the stationary and evolution problems associated with the corresponding transition semigroup, defined on the Banach space of bounded and uniformly continuous functions.
ISSN:2331-8422
DOI:10.48550/arxiv.2207.13042