Electronic Communications in Probability

Moment bounds for some fractional stochastic heat equations on the ball

Eulalia Nualart

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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

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

Received: 15 July 2017
Accepted: 25 June 2018
First available in Project Euclid: 25 July 2018

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Zentralblatt MATH identifier

Primary: 60H15: Stochastic partial differential equations [See also 35R60] 35R60: Partial differential equations with randomness, stochastic partial differential equations [See also 60H15]
Secondary: 60G52: Stable processes 35K08: Heat kernel

Stochastic heat equation fractional Laplacian Dirichlet boundary conditions heat kernel estimates

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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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