The stochastic fractional power dissipative equations in any dimension and applications

This paper is concerned with stochastic fractional power dissipative equations with multiplicative noise in n  -dimension (n≥1n≥1) space. The well-posedness for the subcritical nonlinearities is proved in appropriate space–time space by the contraction mapping principle and Strichartz estimates. The main result can be applied to various types of SPDEs such as stochastic reaction–diffusion equations, stochastic fractional Burgers equation and stochastic fractional Navier–Stokes equation.