Moment bounds for some fractional stochastic heat equations on the ball

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.Research supported in part by the European Union programme FP7-PEOPLE-2012-CIG under grant agreement 333938