G

H

GAO , Hongjun

Last name: GAO

First name: Hongjun

June 13, 2016 (v1)

Publication

Metadata-only

Random attractors for stochastic evolution equations driven by fractional brownian motion

Gao, Hongjun Garrido Atienza, María José Schmalfuss, Björn

The main goal of this article is to prove the existence of a random attractor for a stochastic evolution equation driven by a fractional Brownian motion with Hurst parameter H ∈ (1/2, 1). We would like to emphasize that we do not use the usual cohomology method, consisting of transforming the stochastic equation into a random one, but we deal...

Uploaded on: December 4, 2022
June 13, 2016 (v1)

Publication

Metadata-only

Pathwise solutions of SPDEs driven by Hölder-continuous integrators with exponent larger than 1/2 and random dynamical systems

Chen, Yong Gao, Hongjun Garrido Atienza, María José

This article is devoted to the existence and uniqueness of pathwise solutions to stochastic evolution equations, driven by a Hölder continuous function with Hölder exponent in (1/2, 1), and with nontrivial multiplicative noise. As a particular situation, we shall consider the case where the equation is driven by a fractional Brownian motion BH...

Uploaded on: December 4, 2022