@article { author = {Salavati, E. and Zangeneh, B.}, title = {Continuous dependence on coefficients for stochastic evolution equations with multiplicative Levy Noise and monotone nonlinearity}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {42}, number = {1}, pages = {175-194}, year = {2016}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {Semilinear stochastic evolution equations with multiplicative L'evy noise are considered‎. ‎The drift term is assumed to be monotone nonlinear and with linear growth‎. ‎Unlike other similar works‎, ‎we do not impose coercivity conditions on coefficients‎. ‎We establish the continuous dependence of the mild solution with respect to initial conditions and also on coefficients. ‎As corollaries of the continuity result‎, ‎we derive sufficient conditions for asymptotic stability of the solutions‎, ‎we show that Yosida approximations converge to the solution and we prove that solutions have Markov property‎. ‎Examples on stochastic partial differential equations and stochastic delay differential equations are provided to demonstrate the theory developed‎. ‎The main tool in our study is an inequality which gives a pathwise bound for the norm of stochastic convolution integrals‎.}, keywords = {‎ Stochasic evolution equations‎,monotone nonlinearity‎,‎stochastic convolution integrals‎,‎L'evy processes}, url = {http://bims.iranjournals.ir/article_751.html}, eprint = {http://bims.iranjournals.ir/article_751_180a88e9aeb9128f8fb07944be871064.pdf} }