Long-time Instability and Unbounded Sobolev Orbits for Some Periodic Nonlinear Schrödinger Equations-Reference-Cited by-同舟云学术

Long-time Instability and Unbounded Sobolev Orbits for Some Periodic Nonlinear Schrödinger Equations

Published:2013-11-05 Issue:3 Volume:211 Page:929-964
ISSN:0003-9527
Container-title:Archive for Rational Mechanics and Analysis
language:en
Short-container-title:Arch Rational Mech Anal

Author:

Hani Zaher

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00205-013-0689-6.pdf

Reference33 articles.

1. Bourgain J.: Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations, Part I: Schrödinger Equations. GAFA 3, 107–156 (1993)

2. Bourgain J.: Aspects of long time behaviour of solutions of nonlinear Hamiltonian evolution equations. Geom. Funct. Anal. 5(2), 105–140 (1995)

3. Bourgain, J.: On the growth in time of higher Sobolev norms of smooth solutions of Hamiltonian PDE. Int. Math. Res. Notices (6), 277–304 (1996)

4. Bourgain, J.: Problems in Hamiltonian PDE’s. Geom. Funct. Anal. Special Volume, Part I, 32–56 (2000)

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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