Yosida approximations for multivalued stochastic partial differential equations driven by Lévy noise on a Gelfand triple |
| |
Authors: | Wei Liu Matthias Stephan |
| |
Institution: | 1. School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, China;2. Fakultät für Mathematik, Universität Bielefeld, D-33501 Bielefeld, Germany |
| |
Abstract: | 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 Lévy 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. |
| |
Keywords: | Multivalued SPDE Gelfand triple Maximal monotone operator Yosida approximation Porous media equation Lé vy noise |
本文献已被 ScienceDirect 等数据库收录! |