%0 Journal Article
%T Existence and Uniqueness for a Class of SPDEs Driven by L'{e}vy Noise in Hilbert Spaces
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Zamani, Majid
%A Vaezpour, S. Mansour
%A Salavati, Erfan
%D 2021
%\ 08/01/2021
%V 18
%N 3
%P 51-68
%! Existence and Uniqueness for a Class of SPDEs Driven by L'{e}vy Noise in Hilbert Spaces
%K Poisson random measure
%K Mild solution
%K Measure of noncompactness
%K Condensing operator
%R 10.22130/scma.2021.520720.884
%X The 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.
%U https://scma.maragheh.ac.ir/article_244940_8c8f8936b05d0b4c9c5d9997e0ab6315.pdf