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arXiv:1312.3843 [math.PR]AbstractReferencesReviewsResources

On the boundedness of solutions of SPDEs

Konstantinos Dareiotis, Máté Gerencsér

Published 2013-12-13, updated 2015-01-03Version 2

In this paper estimates for the uniform norm of solutions of parabolic SPDEs are derived. The result is obtained through iteration techniques, motivated by the work of Moser in deterministic settings. As an application of the main result, solvability of a class of semilinear SPDEs is derived.

Comments: 14 pages
Categories: math.PR
Subjects: 60H15, 60G46
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