KdV Preserves White Noise

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dc.creatorQuastel, Jeremy
dc.creatorValko, Benedek
dc.date2006-11-06
dc.date.accessioned2026-07-07T07:32:35Z
dc.date.available2026-07-07T07:32:35Z
dc.descriptionIt is shown that white noise is an invariant measure for the Korteweg-deVries equation on $\mathbb T$. This is a consequence of recent results of Kappeler and Topalov establishing the well-posedness of the equation on appropriate negative Sobolev spaces, together with a result of Cambronero and McKean that white noise is the image under the Miura transform (Ricatti map) of the (weighted) Gibbs measure for the modified KdV equation, proven to be invariant for that equation by Bourgain.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0611152
dc.identifierhttp://arxiv.org/abs/math/0611152
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119162
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subjectProbability
dc.subject35Q53; 60H40
dc.titleKdV Preserves White Noise
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