Geodesic
Regularity of solutions to stochastic Volterra equations
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 11 (2000) no. 3, pp. 141-154.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

We study regularity of stochastic convolutions solving Volterra equations on $\mathbb{R}^{d}$ driven by a spatially homogeneous Wiener process. General results are applied to stochastic parabolic equations with fractional powers of Laplacian.
Viene studiata la regolarità di convoluzioni stocastiche risolvendo un’equazione di Volterra in $\mathbb{R}^{d}$ perturbata da un processo di Wiener spazialmente omogeneo. I risultati generali ottenuti sono applicati a equazioni paraboliche stocastiche con una potenza frazionaria del Laplaciano. 
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Karczewska, Anna; Zabczyk, Jerzy. Regularity of solutions to stochastic Volterra equations. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 11 (2000) no. 3, pp. 141-154. http://geodesic.mathdoc.fr/item/RLIN_2000_9_11_3_a0/

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