Invariant Measures and the Soliton Resolution Conjecture
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Publication:2929395
DOI10.1002/cpa.21501zbMath1303.35096arXiv1203.4027OpenAlexW2962854064WikidataQ123123921 ScholiaQ123123921MaRDI QIDQ2929395
Publication date: 12 November 2014
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.4027
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Aspects of PDEs Related to Fluid Flows ⋮ A complexity approach to the soliton resolution conjecture ⋮ A stochastic thermalization of the discrete nonlinear Schrödinger equation ⋮ Uniform Strichartz estimates on the lattice ⋮ A note about the uniform distribution on the intersection of a simplex and a sphere ⋮ Large deviations and localization of the microcanonical ensembles given by multiple constraints ⋮ Strong Convergence for Discrete Nonlinear Schrödinger equations in the Continuum Limit ⋮ Invariance of white noise for KdV on the line ⋮ A PDE construction of the Euclidean \(\Phi^4_3\) quantum field theory ⋮ Equivalence of ensembles, condensation and glassy dynamics in the Bose-Hubbard Hamiltonian ⋮ Cut-off for sandpiles on tiling graphs ⋮ Solutions with compact time spectrum to nonlinear Klein-Gordon and Schrödinger equations and the Titchmarsh theorem for partial convolution
Cites Work
- Unnamed Item
- Unnamed Item
- Approach to equilibrium for the stochastic NLS
- Almost sure well-posedness of the cubic nonlinear Schrödinger equation below \(L^{2}(\mathbb{T})\)
- Interpolation of Gibbs measures with white noise for Hamiltonian PDE
- On the asymptotic behavior of large radial data for a focusing nonlinear Schrödinger equation
- Invariant Gibbs measures and a.s. global well posedness for coupled KdV systems.
- Statistical mechanics of the 2-dimensional focusing nonlinear Schrödinger equation
- Construction of a Gibbs measure associated to the periodic Benjamin-Ono equation
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- Derivation of the cubic nonlinear Schrödinger equation from quantum dynamics of many-body systems
- Random data Cauchy theory for supercritical wave equations. II. A global existence result
- Random data Cauchy theory for supercritical wave equations I: Local theory
- Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate
- Invariant measures for the defocusing nonlinear Schrödinger equation
- Invariance of the white noise for KdV
- Asymptotic analysis of soliton problems. An inverse scattering approach
- On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
- Statistical mechanics of the nonlinear Schrödinger equation
- Brownian motion with restoring drift: The petit and micro-canonical ensembles
- Periodic nonlinear Schrödinger equation and invariant measures
- Fluctuations in the thermodynamic limit of focussing cubic Schrödinger
- Statistical mechanics of nonlinear wave equations. IV: Cubic Schrödinger
- Invariant measures for the 2D-defocusing nonlinear Schrödinger equation
- On the continuum limit for discrete NLS with long-range lattice interactions
- Profiles of bounded radial solutions of the focusing, energy-critical wave equation
- On invariant Gibbs measures conditioned on mass and momentum
- Invariant measures for NLS in infinite volume
- Absolute continuity of Brownian bridges under certain gauge transformations
- Invariant measures for the nonlinear Schrödinger equation on the disc
- A (concentration-)compact attractor for high-dimensional nonlinear Schrödinger equations
- Uniqueness of the ground state solution for \(\Delta u - u + u^3=0\) and a variational characterization of other solutions
- Gibbs measure for the periodic derivative nonlinear Schrödinger equation
- Invariance of the Gibbs Measure for the Schrödinger–Benjamin–Ono System
- Derivation of the two-dimensional nonlinear Schrödinger equation from many body quantum dynamics
- A Remark on Stirling's Formula
- The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher
- The emergence of solitons of the korteweg-de vries equation from arbitrary initial conditions
- The Korteweg–deVries Equation: A Survey of Results
- Excitation thresholds for nonlinear localized modes on lattices
- [https://portal.mardi4nfdi.de/wiki/Publication:4342735 Action-angle variables for the cubic Schr�dinger equation]
- [https://portal.mardi4nfdi.de/wiki/Publication:4348828 Cubic Schr�dinger: The petit canonical ensemble in action-angle variables]
- [https://portal.mardi4nfdi.de/wiki/Publication:4790280 On the ?-volume limit of the focusing cubic Schr�dinger equation]
- Probability Inequalities for Sums of Bounded Random Variables
- Probabilistic Methods for Discrete Nonlinear Schrödinger Equations
- Invariant Measure for a Three Dimensional Nonlinear Wave Equation
- Why are solitons stable?
- The Korteweg-de Vries equation and water waves. Solutions of the equation. Part 1
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