Strong solutions for SPDE with locally monotone coefficients driven by   L\'{e}vy noise
  Motivated by applications to a manifold of semilinear and quasilinear stochastic partial differential equations (SPDEs) we establish the existence and uniqueness of strong solutions to coercive and locally monotone SPDEs driven by L\'{e}vy processes. We illustrate the main result of our paper by showing how it can be applied to various types of SPDEs such as stochastic reaction-diffusion equations, stochastic Burgers type equations, stochastic 2D hydrodynamical systems and stochastic equations of non-Newtonian fluids, which generalize many existing results in the literature. 
Zdzis{\l}aw Brze\'zniak, Wei Liu, Jiahui Zhu
math.AP math.PR