Probabilistic global well-posedness for the supercritical nonlinear harmonic oscillator

From MaRDI portal
Publication:405650

DOI10.2140/apde.2014.7.997zbMath1322.35190arXiv1309.0795OpenAlexW3102364824MaRDI QIDQ405650

Laurent Thomann, Aurélien Poiret, Didier Robert

Publication date: 5 September 2014

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.0795




Related Items

Almost sure scattering at mass regularity for radial Schrödinger equationsScattering for the cubic Schrödinger equation in 3D with randomized radial initial dataRandom data final-state problem for the mass-subcritical NLS in $L^2$Refined mass-critical Strichartz estimates for Schrödinger operatorsConcentration and universal randomisation of proper subspacesWiener randomization on unbounded domains and an application to almost sure well-posedness of NLSAlmost sure local wellposedness and scattering for the energy-critical cubic nonlinear Schrödinger equation with supercritical dataAlmost sure local well-posedness and scattering for the 4D cubic nonlinear Schrödinger equationLarge global solutions for nonlinear Schrödinger equations. I: Mass-subcritical casesIrregular time-dependent perturbations of quantum HamiltoniansRandom-weighted Sobolev inequalities on \(\mathbb{R}^d\) and application to Hermite functionsNew examples of probabilistic well-posedness for nonlinear wave equationsSharp conditions of global existence for nonlinear Schrödinger equation with a harmonic potentialAlmost sure scattering for the energy-critical NLS with radial data below H1(R4)On random Hermite seriesOn the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ^{𝕕}, 𝕕≥3On the Probabilistic Cauchy Theory for Nonlinear Dispersive PDEsHigher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ³Multidimensional Paley-Zygmund theorems and sharp \(L^p\) estimates for some elliptic operatorsOn the almost sure scattering for the energy-critical cubic wave equation with supercritical dataRandomization improved Strichartz estimates and global well-posedness for supercritical data