Invariant measure for the Schrödinger equation on the real line
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Publication:2344857
DOI10.1016/j.jfa.2015.04.021zbMath1317.35227arXiv1405.5107OpenAlexW657430203MaRDI QIDQ2344857
Anne-Sophie de Suzzoni, Federico Cacciafesta
Publication date: 18 May 2015
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.5107
Related Items (11)
Gibbs measure for the higher order modified Camassa-Holm equation ⋮ Stability of invariant measures and continuity of the KdV flow ⋮ Gibbs measures of nonlinear Schrödinger equations as limits of many-body quantum states in dimensions \({d \leqslant 3}\) ⋮ Invariance of Gibbs measures under the flows of Hamiltonian equations on the real line ⋮ Randomization and the Gross-Pitaevskii hierarchy ⋮ Gibbs measures based on 1d (an)harmonic oscillators as mean-field limits ⋮ Invariant measures for complex-valued dissipative dynamical systems and applications ⋮ Classical field theory limit of many-body quantum Gibbs states in 2D and 3D ⋮ Global well posedness of the two-dimensional stochastic nonlinear wave equation on an unbounded domain ⋮ Gibbs Measures of Nonlinear Schrödinger Equations as Limits of Quantum Many-Body States in Dimension d ≤ 3 ⋮ Invariant measures for the two-dimensional averaged-Euler equations
Cites Work
- Unnamed Item
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- Almost sure well-posedness of the cubic nonlinear Schrödinger equation below \(L^{2}(\mathbb{T})\)
- Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS
- Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space
- Invariant Gibbs measures and a.s. global well posedness for coupled KdV 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
- Invariant measures for the defocusing nonlinear Schrödinger equation
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
- Statistical mechanics of the nonlinear Schrödinger equation
- Periodic nonlinear Schrödinger equation and invariant measures
- Two-dimensional nonlinear Schrödinger equation with random radial data
- Invariant measures for NLS in infinite volume
- Absolute continuity of Brownian bridges under certain gauge transformations
- Random Data Cauchy Theory for Nonlinear Wave Equations of Power-Type on ℝ3
- Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds
- Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS
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