An optimal regularity result on the quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation

Author:

Oh Tadahiro,Sosoe Philippe,Tzvetkov Nikolay

Publisher

Cellule MathDoc/CEDRAM

Subject

General Mathematics

Reference46 articles.

1. [1] Babin, A. V.; Ilyin, A. A.; Titi, E. S. On the regularization mechanism for the periodic Korteweg-de Vries equation, Comm. Pure Appl. Math., Volume 64 (2011) no. 5, pp. 591-648

2. [2] Ben-Artzi, M.; Koch, H.; Saut, J.-C. Dispersion estimates for fourth order Schrödinger equations, C. R. Acad. Sci. Paris Sér. I Math., Volume 330 (2000) no. 2, pp. 87-92

3. [3] Benassi, A.; Jaffard, S.; Roux, D. Elliptic Gaussian random processes, Rev. Mat. Iberoamericana, Volume 13 (1997) no. 1, pp. 19-90

4. [4] Bourgain, J. Periodic nonlinear Schrödinger equation and invariant measures, Comm. Math. Phys., Volume 166 (1994) no. 1, pp. 1-26

5. [5] Bourgain, J. Gibbs measures and quasi-periodic solutions for nonlinear Hamiltonian partial differential equations, The Gelfand Mathematical Seminars, 1993–1995, Birkhäuser Boston, Boston, MA (1996), pp. 23-43

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