On the boundedness of solutions of SPDEs
Probability
2016-09-09 v2
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.
Keywords
Cite
@article{arxiv.1312.3843,
title = {On the boundedness of solutions of SPDEs},
author = {Konstantinos Dareiotis and Máté Gerencsér},
journal= {arXiv preprint arXiv:1312.3843},
year = {2016}
}
Comments
14 pages