On the boundedness of solutions of spdes

被引：0
|
作者：
Dareiotis K. [1 ]
Gerencsér M. [1 ]
机构：
[1] Department of Mathematics and Statistics, University of Edinburgh, James Clerk Maxwell Building, The King’s Buildings, Peter Guthrie Tait Road, Edinburgh
来源：
Stochastic Partial Differential Equations: Analysis and Computations | 2015年 / 3卷 / 1期
关键词：
Moser’s iteration; Stochastic PDEs;
D O I：
10.1007/s40072-014-0043-5
中图分类号：
学科分类号：
摘要：
In this paper estimates for the L∞-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 established. © Springer Science+Business Media New York 2014.
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页码：84 / 102
页数：18
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