Fetching the paper…
Reading the bibliography…
We consider the continuous resonant (CR) system of the 2D cubic nonlinear Schr{\"o}dinger (NLS) equation.
Harmonic analysis as spectral theory of Laplacians
R. Strichartz · 1989
Earlier work this paper cites.
Global flows with invariant (Gibbs) measures for Euler and Navier-Stokes two dimensional fluids
S. Albeverio, A. Cruzeiro · 1990
Earlier work this paper cites.
Lectures on Hermite and Laguerre expansions
S. Thangavelu · 1993
Earlier work this paper cites.
Tools for PDE. Pseudodifferential operators, paradifferential operators, and layer potentials
M. E. Taylor · 2000
Earlier work this paper cites.
Two-dimensional Navier-Stokes equations driven by a space-time white noise
G. Da Prato and A. Debussche · 2002
Earlier work this paper cites.
Local smoothing property and Strichartz inequality for Schrödinger equations with potentials superquadratic at infinity
K. Yajima and G. Zhang · 2004
Earlier work this paper cites.
L p L^{p} eigenfunction bounds for the Hermite operator
H. Koch and D. Tataru · 2005
Earlier work this paper cites.
Lowest Landau level functional and Bargmann spaces for Bose-Einstein condensates
A. Aftalion, X. Blanc, F. Nier · 2006
Cited alongside, same era.
Bose-Einstein condensates in the lowest Landau level: Hamiltonian dynamics
F. Nier · 2007
Cited alongside, same era.
Cauchy theory for supercritical wave equations I: local existence theory
N. Burq and N. Tzvetkov. Random data · 2008
Cited alongside, same era.
A pseudoconformal compactification of the nonlinear Schrödinger equation and applications. New York J. Math
T. Tao · 2009
Cited alongside, same era.
Ann. IHP
L. Thomann. Random data Cauchy for supercritical Schrödinger equations · 2009
Cited alongside, same era.
Gibbs measure for the periodic derivative non linear Schrödinger equation
L. Thomann and N. Tzvetkov · 2010
Cited alongside, same era.
Invariant measure for the cubic wave equation on the unit ball of ℝ 3 \mathbb{R}^{3}
A.-S. de Suzzoni · 2011
Later among the works it cites.
Almost sure well-posedness of the cubic nonlinear Schrödinger equation below L 2 ( 𝕋 ) L^{2}(\mathbb{T})
J. Colliander et T. Oh · 2012
Later among the works it cites.
Two dimensional NLS equation with random radial data
Y. Deng · 2012
Later among the works it cites.
Long time dynamics for the one dimensional non linear Schrödinger equation
N. Burq, L. Thomann and N. Tzvetkov · 2013
Later among the works it cites.
Probabilistic global well-posedness for the supercritical nonlinear harmonic oscillator. Analysis & PDE
A. Poiret, D. Robert and L. Thomann · 2014
Later among the works it cites.
Random weighted Sobolev inequalities on ℝ d \mathbb{R}^{d} and application to Hermite functions. Ann. Henri Poincaré
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Remarks on the Gibbs measures for nonlinear dispersive equations
N. Burq, L. Thomann and N. Tzvetkov
Cited in the paper.
The weakly nonlinear large box limit of the 2D cubic nonlinear Schrödinger equation
E. Faou, P. Germain and Z. Hani
Cited in the paper.
On the Lowest Level Landau equation
P. Gérard, P. Germain and L. Thomann
Cited in the paper.
On the continuous resonant equation for NLS: I. Deterministic analysis
P. Germain, Z. Hani and L. Thomann
Cited in the paper.
Asymptotic behavior of the nonlinear Schrödinger with harmonic trapping
Z. Hani and L. Thomann
Cited in the paper.
On random Hermite series
R. Imekraz, D. Robert and L. Thomann
Cited in the paper.
A. Poiret, D. Robert and L. Thomann · 2015
Closest in time.