Moment bounds for SPDEs with non-Gaussian fields and application to the Wong-Zakai problem

摘要: Upon its inception the theory of regularity structures [7] allowed for treatment many semilinear perturbations stochastic heat equation driven by space-time white noise. When driving noise is non-Gaussian machinery can still be used but must combined with an infinite number estimates in order to compensate loss hypercontractivity, as was done [12]. In this paper we obtain a more streamlined and automatic set criteria implying these which facilitates some other problems including such general phase coexistence models [13], [16] - example prove here generalization Wong-Zakai Theorem found [10].