We study a class of stochastic evolution equations with a dissipative forcing nonlinearity and additive noise. The noise is assumed to satisfy rather general assumptions about the form of the covariance function; our framework covers examples of Gaussian processes, like fractional and bifractional Brownian motion and also non Gaussian examples like the Hermite process. We give an application of our results to the study of the stochastic version of a common model of potential spread in a dendritic tree. Our investigation is specially motivated by possibility to introduce long-range dependence in time of the stochastic perturbation.
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Titolo: | Dissipative stochastic evolution equations driven by general Gaussian and non-Gaussian noise | |
Autori: | Bonaccorsi, Stefano; C., Tudor | |
Autori Unitn: | ||
Titolo del periodico: | JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | |
Anno di pubblicazione: | 2011 | |
Numero e parte del fascicolo: | 4 | |
Codice identificativo Scopus: | 2-s2.0-81155134629 | |
Codice identificativo WOS: | WOS:000303885200002 | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s10884-011-9217-2 | |
Handle: | http://hdl.handle.net/11572/91727 | |
Appare nelle tipologie: | 03.1 Articolo su rivista (Journal article) |