Yosida approximations for multivalued stochastic partial differential equations driven by Levy noise on a Gelfand triple

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:410

Article

Liu, Wei^1,2  Stephan, Matthias² 

[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Peoples R China

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

关键词: Multivalued SPDE;    Gelfand triple;    Maximal monotone operator;    Yosida approximation;    Porous media equation;    Levy noise;   

DOI  :  10.1016/j.jmaa.2013.08.016

来源: Elsevier

【 摘 要 】

We prove the existence and uniqueness of solutions for a class of multivalued stochastic partial differential equations with maximal monotone drift on Banach space driven by multiplicative Levy noise. We also establish the strong convergence result for solutions of the approximating equations where the maximal monotone drift operator is replaced by its Yosida approximation. As an application, the existence and uniqueness of solutions for multivalued stochastic porous medium equations is obtained. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free