Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899083 | Journal of Differential Equations | 2018 | 27 Pages |
Abstract
This paper addresses the exponential stability of the trivial solution of some types of evolution equations driven by Hölder continuous functions with Hölder index greater than 1/2. The results can be applied to the case of equations whose noisy inputs are given by a fractional Brownian motion BH with covariance operator Q, provided that Hâ(1/2,1) and tr(Q) is sufficiently small.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
L.H. Duc, M.J. Garrido-Atienza, A. Neuenkirch, B. SchmalfuÃ,