Artículo
Well-posedness and dynamics of a fractional stochastic integro-differential equation
Autor/es | Liu, Linfang
Caraballo Garrido, Tomás |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2017-09-15 |
Fecha de depósito | 2017-09-04 |
Publicado en |
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Resumen | In this paper we investigate the well-posedness and dynamics of a fractional stochastic integro-differential equation describing a reaction process depending on the temperature itself. Existence and uniqueness of solutions ... In this paper we investigate the well-posedness and dynamics of a fractional stochastic integro-differential equation describing a reaction process depending on the temperature itself. Existence and uniqueness of solutions of the integro-differential equation is proved by the Lumer-Phillips theorem. Besides, under appropriate assumptions on the memory kernel and on the magnitude of the nonlinearity, the existence of random attractor is achieved by obtaining first some a priori estimates. Moreover, the random attractor is shown to have finite Hausdorff dimension. |
Identificador del proyecto | info:eu-repo/grantAgreement/MINECO/MTM2015-63723-P
P12-FQM-1492 |
Cita | Liu, L. y Caraballo Garrido, T. (2017). Well-posedness and dynamics of a fractional stochastic integro-differential equation. Physica D: Nonlinear Phenomena, 355, 45-57. |
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