Aspects of long time behaviour of solutions of nonlinear Hamiltonian evolution equations

DOI10.1007/BF01895664zbMath0879.35024OpenAlexW4240820078MaRDI QIDQ1901994

Jean Bourgain

Publication date: 22 December 1997

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/58186

zbMATH Keywords

uniform asymptotic stabilityStrichartz type inequalitynon-squeezing propertyLyapunov's theorem in KAM theory

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55)

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Cites Work

• Symplectic topology and Hamiltonian dynamics. II
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
• Nearly integrable infinite-dimensional Hamiltonian systems
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