Logarithmic Sobolev inequalities and spectral concentration for the cubic Schrödinger equation

DOI10.1080/17442508.2014.882924zbMath1337.37061arXiv1308.3649OpenAlexW1978797918MaRDI QIDQ2811112

Caroline Brett, Gordon Blower, Ian Doust

Publication date: 10 June 2016

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.3649

zbMATH Keywords

Gibbs measurenonlinear Schrödinger equationsHill's equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50)

Related Items (3)

Hill's spectral curves and the invariant measure of the periodic KdV equation ⋮ Hasimoto frames and the Gibbs measure of the periodic nonlinear Schrödinger equation ⋮ Quantitative bounds on the rate of approach to equilibrium for some one-dimensional stochastic nonlinear Schrödinger equations

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• [https://portal.mardi4nfdi.de/wiki/Publication:4342735 Action-angle variables for the cubic Schr�dinger equation]

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