The fractional stochastic heat equation on the circle: Time regularity and potential theory

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dc.creatorNualart, Eulalia
dc.creatorViens, Frederi
dc.date2007-10-21
dc.date.accessioned2026-07-07T08:37:40Z
dc.date.available2026-07-07T08:37:40Z
dc.descriptionWe consider a system of $d$ linear stochastic heat equations driven by an additive infinite-dimensional fractional Brownian noise on the unit circle $S^1$. We obtain sharp results on the Hölder continuity in time of the paths of the solution $u=\{u(t, x)\}_{t \in \mathbb{R}_+, x \in S^1}$. We then establish upper and lower bounds on hitting probabilities of $u$, in terms of respectively Hausdorff measure and Newtonian capacity.
dc.identifierhttps://arxiv.org/abs/0710.3952
dc.identifierhttp://arxiv.org/abs/0710.3952
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140481
dc.subjectProbability
dc.subject60H15; 60J45; 60G15; 60G17
dc.titleThe fractional stochastic heat equation on the circle: Time regularity and potential theory
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