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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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2018 |
| País: | España |
| Recursos: | Universitat Pompeu Fabra |
| Repositorio: | Repositorio Digital de la UPF |
| OAI Identifier: | oai:repositori.upf.edu:10230/44850 |
| Acesso em linha: | http://hdl.handle.net/10230/44850 http://dx.doi.org/10.1214/18-ECP147 |
| Access Level: | acceso abierto |
| Palavra-chave: | Stochastic heat equation Fractional Laplacian Dirichlet boundary conditions Heat kernel estimates |
| Resumo: | 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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