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arXiv : 0911.4092

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Dissipative stochastic evolution equations driven by general Gaussian and non-Gaussian noise

Stefano Bonaccorsi 1, Ciprian Tudor 2

(20/11/2009)

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.

1 :	Dipartimento di Matematica
	Universita di Trento
2 :	Laboratoire Paul Painlevé (LPP)
	CNRS : UMR8524 – Université des Sciences et Technologies de Lille - Lille I

Domaine

:

Mathématiques/Probabilités Mathématiques/Equations aux dérivées partielles

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Contributeur : Ciprian Tudor <>

Soumis le : Vendredi 20 Novembre 2009, 17:45:52

Dernière modification le : Vendredi 20 Novembre 2009, 19:22:25