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Schauder estimates for elliptic equations in Banach spaces associated with stochastic reaction–diffusion equations

Schauder estimates for elliptic equations in Banach spaces associated with stochastic... We consider some reaction–diffusion equations perturbed by white noise and prove Schauder estimates for the elliptic problem associated with the generator of the corresponding transition semigroup, defined in the Banach space of continuous functions. This requires the proof of some new interpolation result. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Evolution Equations Springer Journals

Schauder estimates for elliptic equations in Banach spaces associated with stochastic reaction–diffusion equations

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References (11)

Publisher
Springer Journals
Copyright
Copyright © 2012 by Springer Basel AG
Subject
Mathematics; Analysis
ISSN
1424-3199
eISSN
1424-3202
DOI
10.1007/s00028-011-0124-0
Publisher site
See Article on Publisher Site

Abstract

We consider some reaction–diffusion equations perturbed by white noise and prove Schauder estimates for the elliptic problem associated with the generator of the corresponding transition semigroup, defined in the Banach space of continuous functions. This requires the proof of some new interpolation result.

Journal

Journal of Evolution EquationsSpringer Journals

Published: Mar 1, 2012

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