In this paper, we investigated controllability of a stochastic partial equation driven by Poisson random measure. The stochastic equation was presented as a stochastic evolution equation which is an abstract formulation for stochastic partial equations. Using semigroup theory, we consider the mild solution of stochastic equation. And then the successive approximations method is used to consider the controllability in this paper. An application to a Parabolic SPDE is given in the last section of the paper.
Yin, Xiangfeng and Xiao, Qingchu
"Controllability of Stochastic Evolution Equations Driven by Poisson Random Measure,"
Applied Mathematics & Information Sciences: Vol. 07:
1, Article 30.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss1/30