Small noise asymptotic expansions for stochastic PDE’s driven by dissipative nonlinearity and Lévy noise

We study a reaction–diffusion evolution equation perturbed by a space–time Lévy noise. The associated Kolmogorov operator is the sum of the infinitesimal generator of a C0-semigroup of strictly negative type acting on a Hilbert space and a nonlinear term which has at most polynomial growth, is non necessarily Lipschitz and is such that the whole system is dissipative.

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Year of publication:	2013
Authors:	Albeverio, Sergio ; Mastrogiacomo, Elisa ; Smii, Boubaker
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 123.2013, 6, p. 2084-2109
Publisher:	Elsevier
Subject:	SPDEs \| Dissipative systems \| Lévy processes \| Stochastic convolution with Lévy processes \| Asymptotic expansions \| Polynomially bounded nonlinearity \| Stochastic FitzHugh–Nagumo system \| Small noise \| Lévy space time noise

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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