LP-strong solutions of stochastic partial differential equations with monotonic drifts

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:415

Article

Wang, Xiangjun¹  Jiang, Guo^1,2 

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China

[2] Hubei Normal Univ, Sch Math & Stat, Huangshi 435002, Hubei, Peoples R China

关键词: Smooth solution;    Stochastic partial differential equation;    Monotone drift;    Yosida's approximation;   

DOI  :  10.1016/j.jmaa.2014.01.057

来源: Elsevier

【 摘 要 】

In this paper we prove the existence and uniqueness of L-P-strong solutions for SPDEs with polynomial growth drifts in a general framework. As applications, we also study the existence of smooth solutions for SPDEs in abstract Wiener space, complete Riemannian manifold as well as the whole Euclidean space. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free