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S 2 ( H ):= {$ : [O,T]x R -+ H , cadlag, adapted and such that IE [ SUP (eYCtI4(t)l&)]< > .. OltlT MfO,T](H) := { N E MfO,T](H)? IE [JTeYctd ( N ) , ]< O0}' B 2 ( H ) := Lg(O,T;H ) x A 2 ( H ;P , M ) . Then B 2 ( H )is a separable Hilbert space with the norm A solution of (3) is a triple (Y,2,N ) E B 2 ( H )x hfO,T1(H) such that for all t E [O,T],we have a s . O. The main result is the following theorem. 1. Suppose that (Hl)-(H5) hold with a parameter y being large enough. Then there exists a unique solution (Y,2,N ) E B 2 ( H )xMf0,,,(H) of (3).

Airault, “Stochastic analysis on finite dimensional Siegel disks, approach to the infinite dimensional Siegel disk and upper half-plane”, Bull. Sc. Math. 128,605-659 (2004). 5. A. B. Cruzeiro, P. Malliavin, “Non perturbative construction of invariant measure through confinement by curvature”, J . Math. Pures AppZ. (9) 77, no. 6, 527-537 (1998). 6. B. Gaveau, J. Vauthier, “Annulations et calculs infinitesimaux de laplaciens pour un fibre non integrable”, BuZ1. Sci. Math 100 no. 4, 353-368 (1976).

B. Driver, “Integration by parts and quasi-invariance for heat kernel measures on loop groups”, J . Funct. Anal. 149,470-547 (1997). 11. S. Fang, “Integration by parts for heat measures over loop groups”, J . Math. Pures Appl. 7 8 , 877-894 (1999). 12. S. Fang, P. Malliavin, ‘Stochastic analysis on the path space of a Riemannian manifold”, J . Funct. Anal. 118,no. 1, 249-274 (1993). 13. S. Fang, “Canonical brownian motion on the diffeomorphism group of the circle”, J. Funct. Anal. (2002). 14. M.

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A blow-up result for the periodic Camassa-Holm equation by Wahlen E.


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