In this paper, we obtain upper and lower bounds for the moments of the solution to a class of fractional stochastic heat equations on the ball driven by a Gaussian noise which is white in time and has a spatial correlation in space of Riesz kernel type. We also consider the space-time white noise case on an interval.
"Moment bounds for some fractional stochastic heat equations on the ball." Electron. Commun. Probab. 23 1 - 12, 2018. https://doi.org/10.1214/18-ECP147