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2018 Moment bounds for some fractional stochastic heat equations on the ball
Eulalia Nualart
Electron. Commun. Probab. 23: 1-12 (2018). DOI: 10.1214/18-ECP147

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.

Citation

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Eulalia Nualart. "Moment bounds for some fractional stochastic heat equations on the ball." Electron. Commun. Probab. 23 1 - 12, 2018. https://doi.org/10.1214/18-ECP147

Information

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

zbMATH: 1394.60069
MathSciNet: MR3841402
Digital Object Identifier: 10.1214/18-ECP147

Subjects:
Primary: 35R60 , 60H15
Secondary: 35K08 , 60G52

Keywords: Dirichlet boundary conditions , fractional Laplacian , Heat kernel estimates , Stochastic heat equation

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