Browsing by Author "Tudor, Ciprian A."
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- Quantitative normal approximations for the stochastic fractional heat equation
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä(2022-03) Assaad, Obayda; Nualart, David; Tudor, Ciprian A.; Viitasaari, LauriIn this article we present a quantitative central limit theorem for the stochastic fractional heat equation driven by a a general Gaussian multiplicative noise, including the cases of space-time white noise and the white-colored noise with spatial covariance given by the Riesz kernel or a bounded integrable function. We show that the spatial average over a ball of radius R converges, as R tends to infinity, after suitable renormalization, towards a Gaussian limit in the total variation distance. We also provide a functional central limit theorem. As such, we extend recently proved similar results for stochastic heat equation to the case of the fractional Laplacian and to the case of general noise.