Soliton dynamics for the Korteweg-de Vries equation with multiplicative homogeneous noise.
De Bouard, Anne, Debussche, Arnaud (2009)
Electronic Journal of Probability [electronic only]
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De Bouard, Anne, Debussche, Arnaud (2009)
Electronic Journal of Probability [electronic only]
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Lluís Quer-Sardanyons, Marta Sanz-Solé (2003)
RACSAM
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We prove existence of density for the real-valued solution to a 3-dimensional stochastic wave equation (...).
Gautier, Eric (2007)
Electronic Journal of Probability [electronic only]
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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.
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 driven by a spatially homogeneous Wiener process. General results are applied to stochastic parabolic equations with fractional powers of Laplacian.
Nedeljkov, Marko, Rajter, Danijela (2002)
Novi Sad Journal of Mathematics
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Liu, Xianming, Duan, Jinqiao, Liu, Jicheng, Kloeden, Peter E. (2010)
International Journal of Stochastic Analysis
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