%0 Journal Article
%T Stochastic evolution equations with multiplicative Poisson noise and monotone nonlinearity
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Salavati, E.
%A Zangeneh, B.Z.
%D 2017
%\ 10/01/2017
%V 43
%N 5
%P 1287-1299
%! Stochastic evolution equations with multiplicative Poisson noise and monotone nonlinearity
%K Stochastic evolution equation
%K monotone operator
%K Levy noise
%K Ito type inequality
%K stochastic convolution integral
%R
%X Semilinear 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.
%U http://bims.iranjournals.ir/article_1024_cca52c80d3906210deab1b1cc3480592.pdf