Artículo
Stochastic lattice dynamical systems with fractional noise
Autor/es | Bessaih, Hakima
Garrido Atienza, María José Han, Xiaoying Schmalfuss, Björn |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2017 |
Fecha de depósito | 2017-05-02 |
Publicado en |
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Resumen | This article studies stochastic lattice dynamical systems driven by a fractional Brownian motion with Hurst parameter H ∈ (1/2, 1). First of all, we investigate the existence and uniqueness of pathwise mild solutions to ... This article studies stochastic lattice dynamical systems driven by a fractional Brownian motion with Hurst parameter H ∈ (1/2, 1). First of all, we investigate the existence and uniqueness of pathwise mild solutions to such systems by the Young integration setting and prove that the solution generates a random dynamical system. Further, we analyze the exponential stability of the trivial solution. |
Agencias financiadoras | National Science Foundation (NSF). United States Ministerio de Economía y Competitividad (MINECO). España |
Identificador del proyecto | DMS-1418838
info:eu-repo/grantAgreement/MINECO/MTM2015-63723-P |
Cita | Bessaih, H., Garrido Atienza, M.J., Han, X. y Schmalfuss, B. (2017). Stochastic lattice dynamical systems with fractional noise. SIAM Journal on Mathematical Analysis, 49 (2), 1495-1518. |
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