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arXiv · 1312.3843

On the boundedness of solutions of SPDEs

Konstantinos Dareiotis·Máté Gerencsér
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Abstract

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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Konstantinos Dareiotis, Máté Gerencsér. 2015-01-03. On the boundedness of solutions of SPDEs. https://doi.org/10.1007/s40072-014-0043-5

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