On the solvability of degenerate stochastic partial differential equations in sobolev spaces

被引：0

作者：

Gerencsér M. ^{[1
]}

Gyöngy I. ^{[1
]}

Krylov N. ^{[2
]}

机构：

[1] School of Mathematics and Maxwell Institute, The University of Edinburgh, The King’s Buildings, Peter Guthrie Tait Road, Edinburgh

[2] University of Minnesota, 127 Vincent Hall, Minneapolis, 55455, MN

来源：

Stochastic Partial Differential Equations: Analysis and Computations | 2015年 / 3卷 / 1期

基金：

美国国家科学基金会;

关键词：

Cauchy problem; Degenerate stochastic parabolic PDEs; First order symmetric hyperbolic system;

D O I：

10.1007/s40072-014-0042-6

中图分类号：

学科分类号：

摘要：

Systems of parabolic, possibly degenerate parabolic SPDEs are considered. Existence and uniqueness are established in Sobolev spaces. Similar results are obtained for a class of equations generalizing the deterministic first order symmetric hyperbolic systems. © Springer Science+Business Media New York 2014.

引用

页码：52 / 83

页数：31

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