University of MaraghehSahand Communications in Mathematical Analysis2322-580718320210801Existence and Uniqueness for a Class of SPDEs Driven by L\'{e}vy Noise in Hilbert Spaces516824494010.22130/scma.2021.520720.884ENMajidZamaniDepartment of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran.S. MansourVaezpourDepartment of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran.0000-0003-3909-4203ErfanSalavatiDepartment of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran.Journal Article20201208The present paper seeks to prove the existence and uniqueness of solutions to stochastic evolution equations in Hilbert spaces driven by both Poisson random measure and Wiener process with non-Lipschitz drift term. The proof is provided by the theory of measure of noncompactness and condensing operators. Moreover, we give some examples to illustrate the application of our main theorem.https://scma.maragheh.ac.ir/article_244940_dba1e68bdd5e1765959ed2e089f27abc.pdf