Displaying similar documents to “On a stochastic Korteweg-de Vries equation with homogeneous noise”

On the short time asymptotic of the stochastic Allen–Cahn equation

Hendrik Weber (2010)

Annales de l'I.H.P. Probabilités et statistiques

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A description of the short time behavior of solutions of the Allen–Cahn equation with a smoothened additive noise is presented. The key result is that in the sharp interface limit solutions move according to motion by mean curvature with an additional stochastic forcing. This extends a similar result of Funaki [ (1999) 407–438] in spatial dimension =2 to arbitrary dimensions.

Regularity of solutions to stochastic Volterra equations

Anna Karczewska, Jerzy Zabczyk (2000)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We study regularity of stochastic convolutions solving Volterra equations on R d driven by a spatially homogeneous Wiener process. General results are applied to stochastic parabolic equations with fractional powers of Laplacian.