On the growth of Sobolev norms for the cubic Szegő equation

DOI10.5802/slsedp.70zbMath1355.35022OpenAlexW2567405611MaRDI QIDQ344585

Patrick Gérard, Sandrine Grellier

Publication date: 23 November 2016

Published in: Séminaire Laurent Schwartz. EDP et Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/e2928bf776668e0df1b412c9ab20ba630fe698a1

zbMATH Keywords

nonlinear Fourier transforminstability phenomenonLax pair structureSobolev spaces with high regularity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Almost and pseudo-almost periodic solutions to PDEs (35B15) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (4)

On the growth of Sobolev norms for NLS on 2- and 3-dimensional manifolds ⋮ Almost reducibility and oscillatory growth of Sobolev norms ⋮ Modified scattering and beating effect for coupled Schrödinger systems on product spaces with small initial data ⋮ On the growth of Sobolev norms of solutions of the fractional defocusing NLS equation on the circle

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