ON UNIQUENESS OF MILD SOLUTIONS FOR DISSIPATIVE STOCHASTIC EVOLUTION EQUATIONS

被引：16

作者：

Marinelli, Carlo ^{[1
]}

Roeckner, Michael ^{[2
]}

机构：

[1] Univ Bolzano, Fac Econ, I-39100 Bolzano, Italy

[2] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

来源：

INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS | 2010年 / 13卷 / 03期

关键词：

Stochastic PDE; reaction-diffusion equations; Poisson measures; monotone operators;

D O I：

10.1142/S0219025710004152

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the semigroup approach to stochastic evolution equations, the fundamental issue of uniqueness of mild solutions is often "reduced" to the much easier problem of proving uniqueness for strong solutions. This reduction is usually carried out in a formal way, without really justifying why and how one can do that. We provide sufficient conditions for uniqueness of mild solutions to a broad class of semilinear stochastic evolution equations with coefficients satisfying a monotonicity assumption.

引用

页码：363 / 376

页数：14

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