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Additive Functionals of the Solution to Fractional Stochastic Heat Equation |
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| Authors: | Hanae Ouahhabi Ciprian A. Tudor |
| Affiliation: | 1. Faculty of Sciences, Université Mohammed 1, Box 717, Oujda, Morocco 2. Laboratoire Paul Painlevé, Université de Lille 1, 59655, Villeneuve d’Ascq, France 3. Academy of Economical Studies, Piata Romana nr. 6, sector 1, Bucharest, Romania |
| Abstract: | We give sharp regularity results for the solution to the linear stochastic heat equation with fractional noise in time. We apply these result to prove the local nondeterminism of this process and to study the existence and the joint continuity of its local times. |
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