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arXiv · 1707.05221

Moment bounds for some fractional stochastic heat equations on the ball

Eulalia Nualart
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Abstract

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 with a spatial correlation in space of Riesz kernel type. We also consider the space-time white noise case on an interval.

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Eulalia Nualart. 2017-07-17. Moment bounds for some fractional stochastic heat equations on the ball. https://arxiv.org/abs/1707.05221

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