Moment bounds for some fractional stochastic heat equations on the ball

Authors: Eulàlia Nualart

Electronic Communications in Probability, Vol. 23, July, 2018

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.