Article
Stochastic lattice dynamical systems with fractional noise
Author/s | Bessaih, Hakima
Garrido Atienza, María José Han, Xiaoying Schmalfuss, Björn |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2017 |
Deposit Date | 2017-05-02 |
Published in |
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Abstract | 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. |
Funding agencies | National Science Foundation (NSF). United States Ministerio de Economía y Competitividad (MINECO). España |
Project ID. | DMS-1418838
![]() info:eu-repo/grantAgreement/MINECO/MTM2015-63723-P ![]() |
Citation | 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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