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Kevei Péter (SZTE): Intermittency and almost sure properties of the solution of the stochastic heat equation with Lévy noise

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Wednesday, 14. February 2018, 14:00 - 16:00
Abstract. We investigate the moment asymptotics of the solution to the stochastic heat equation
driven by a (d+1)-dimensional Lévy space-time white noise. Unlike the case of Gaussian noise, the solution typically has no finite moments of order 1+2/d or higher. Intermittency of order p, that is, the exponential growth of the p-th moment as time tends to infinity, is established in dimension d=1 for all values p in (1,3), and in higher dimensions for some p in (1,1+2/d). In some special cases we also investigate the almost sure properties of the solution.
Location : Szeged, Aradi vértanúk tere 1., Riesz terem.


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