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arxiv: 1312.3843 · v2 · pith:M5N3IX46new · submitted 2013-12-13 · 🧮 math.PR

On the boundedness of solutions of SPDEs

classification 🧮 math.PR
keywords spdesderivedresultsolutionsapplicationboundednessclassdeterministic
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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.

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