Dynamics of stochastic nonlocal reaction-diffusion equations driven by multiplicative noise
This paper deals with fractional stochastic nonlocal partial differential equations driven by multiplicative noise. We first prove the existence and uniqueness of solution to this kind of equations with white noise by applying the Galerkin method. Then, the existence and uniqueness of tempered pullb...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/147898 |
| Acceso en línea: | https://hdl.handle.net/11441/147898 https://doi.org/10.1142/S0219530522500075 |
| Access Level: | acceso abierto |
| Palabra clave: | Fractional stochastic nonlocal PDEs Multiplicative noise Random attractors Colored noise Upper semicontinuity Wong-Zakai approximations |
| Sumario: | This paper deals with fractional stochastic nonlocal partial differential equations driven by multiplicative noise. We first prove the existence and uniqueness of solution to this kind of equations with white noise by applying the Galerkin method. Then, the existence and uniqueness of tempered pullback random attractor for the equation are ensured in an appropriate Hilbert space. When the fractional nonlocal partial differential equations are driven by colored noise, which indeed are approximations of the previous ones, we show the convergence of solutions of Wong-Zakai approximations and the upper semicontinuity of random attractors of the approximate random system as δ → 0. |
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