Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X43520171001Stochastic evolution equations with multiplicative Poisson noise and monotone nonlinearity128712991024ENE.SalavatiSchool of Mathematics,
Institute for Research in Fundamental Sciences (IPM),
P.O. Box 19395-5746, Tehran, Iran
Faculty of Mathematics and Computer Science,
Amirkabir University of Technology, Tehran, Iran.B.Z.ZangenehDepartment of Mathematics, Sharif University of Technology, Tehran, Iran.Journal Article20151010Semilinear stochastic evolution equations with multiplicative Poisson noise and monotone nonlinear drift in Hilbert spaces are considered. The coefficients are assumed to have linear growth. We do not impose coercivity conditions on coefficients. A novel method of proof for establishing existence and uniqueness of the mild solution is proposed. Examples on stochastic partial differential equations and stochastic delay differential equations are provided to demonstrate the theory developed.http://bims.iranjournals.ir/article_1024_cca52c80d3906210deab1b1cc3480592.pdf