Poincaré-Dulac Normal Form Reduction for Unconditional Well-Posedness of the Periodic Cubic NLS-Reference-Cited by-同舟云学术

Poincaré-Dulac Normal Form Reduction for Unconditional Well-Posedness of the Periodic Cubic NLS

Published:2013-06-25 Issue:1 Volume:322 Page:19-48
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun. Math. Phys.

Author:

Guo Zihua,Kwon Soonsik,Oh Tadahiro

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s00220-013-1755-5.pdf

Reference23 articles.

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2. Babin A., Ilyin A., Titi E.: On the regularization mechanism for the periodic Korteweg-de Vries equation. Comm. Pure Appl. Math. 64(5), 591–648 (2011)

3. Bourgain J.: Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations I. Schrödinger equations. Geom. Funct. Anal. 3(2), 107–156 (1993)

4. Bourgain J.: Remarks on stability and diffusion in high-dimensional Hamiltonian systems and partial differential equations. Erg. Th. Dyn. Systs. 24(5), 1331–1357 (2004)

5. Bourgain J.: A remark on normal forms and the “I-method” for periodic NLS. J. Anal. Math. 94, 125–157 (2004)

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