Caraballo Garrido, TomásKloeden, Peter E.Schmalfuss, Björn2015-04-082015-04-0820061531-3492http://hdl.handle.net/11441/23716We investigate the existence, uniqueness and exponential stability of non-constant stationary solutions of stochastic semilinear evolution equations. Our main result shows, in particular, that noise can have a stabilization effect on deterministic equations. Moreover, we do not require any commutative condition on the noise terms.application/pdfengAtribución-NoComercial-SinDerivadas 4.0 Españahttp://creativecommons.org/licenses/by-nc-nd/4.0Random dynamical systemsstationary solutionsexponential stabilitystabilizationinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.3934/dcdsb.2006.6.1199