- Working Paper
We address the long time behavior of solutions of the stochastic Korteweg-de Vries equation du+(∂ 3 x u+u∂ x u+λu)dt=fdt+ΦdW t on R where f is a deterministic force. We prove that the Feller property holds and establish the existence of an invariant measure. The tightness is established with the help of the asymptotic compactness, which is carried out using the Aldous criterion Show more
Journal / seriesarXiv
SubjectInvariant measures; Stochastic KdV equation; White noise; Long time behavior; Asymptotic compactness; Tightness; Feller property; Aldous criterion
Organisational unit03844 - Soner, Mete
NotesSubmitted on 8 December 2015, Last revised 26 January 2016.
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