## Electronic Communications in Probability

### Moment bounds for some fractional stochastic heat equations on the ball

Eulalia Nualart

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

#### Article information

Source
Electron. Commun. Probab., Volume 23 (2018), paper no. 41, 12 pp.

Dates
Accepted: 25 June 2018
First available in Project Euclid: 25 July 2018

https://projecteuclid.org/euclid.ecp/1532505672

Digital Object Identifier
doi:10.1214/18-ECP147

Mathematical Reviews number (MathSciNet)
MR3841402

Zentralblatt MATH identifier
1394.60069

#### Citation

Nualart, Eulalia. Moment bounds for some fractional stochastic heat equations on the ball. Electron. Commun. Probab. 23 (2018), paper no. 41, 12 pp. doi:10.1214/18-ECP147. https://projecteuclid.org/euclid.ecp/1532505672

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