Fractional White Noise Perturbations of Parabolic Volterra Equations

Details Fractional White Noise Perturbations of Parabolic Volterra Equations Fractional White Noise Perturbations of Parabolic Volterra Equations

2010-07-12

arxiv.org/abs/1007.1855v1

Mathematics

Analysis of PDEs

15 pages

Scientific paper

Aim of this work is to extend the results of Cl\'ement, Da Prato & Pr\"uss on
the fractional white noise perturbation with Hurst parameter 0obtain similar results and it will turn out that the regularity of the solution
u(t) of the stochastic Volterra equation increases with Hurst parameter H.

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