Random attractors for setvalued dynamical systems for stochastic evolution equations driven by a nontrivial fractional noise

Autor:	M. J. Garrido-Atienza, B. Schmalfuß, J. Valero
Rok vydání:	2022
Předmět:	Modeling and Simulation
Zdroj:	Stochastics and Dynamics. 22
ISSN:	1793-6799 0219-4937
DOI:	10.1142/s0219493722400184
Popis:	We consider a stochastic evolution equation driven by a fractional Brownian motion in a separable Hilbert space with Hurst parameter [Formula: see text]. The coefficient in front of the noise is in general nonlinear. The related integral is a pathwise integral defined by fractional derivatives. The nonlinear coefficients of this equation satisfy weak conditions ensuring only existence of a solution but not uniqueness. This equation generates then a multivalued random dynamical system. We prove the existence of a random attractor for this system.
Databáze:	OpenAIRE
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