Ralf Manthey, Katrin Mittmann, Friedrich-Schiller-Universitat, Fakultat fur Mathematik und Informatik, Institut fur Stochastik, D-07740 Jena, Germany, e-mail: manthey@minet.uni-jena.de, mittmann@minet.uni-jena.de
Keywords: asymptotic behaviour of paths, Wiener field, stochastic diffusion equation
@abstract: We prove a polynomial growth estimate for random fields satisfying the Kolmogorov continuity test. As an application we are able to estimate the growth of the solution to the Cauchy problem for a stochastic diffusion equation.
@filename: mami2095
Classification (MSC 1991): 60G17, 60G15, 60H15
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