Moment bounds for some fractional stochastic heat equations on the ball
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 ca...
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2018 |
| Country: | España |
| Institution: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repository: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:10230/44850 |
| Online Access: | http://hdl.handle.net/10230/44850 http://dx.doi.org/10.1214/18-ECP147 |
| Access Level: | Open access |
| Keyword: | Stochastic heat equation Fractional Laplacian Dirichlet boundary conditions Heat kernel estimates |
| Summary: | 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. |
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