Random data final-state problem for the mass-subcritical NLS in $L^2$
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Publication:4555829
DOI10.1090/proc/14275zbMath1406.35366arXiv1703.09849OpenAlexW2610871578MaRDI QIDQ4555829
Publication date: 23 November 2018
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.09849
scatteringrandomizationStrauss exponentfinal-state problemmass-subcritical nonlinear Schrödinger equation
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Cites Work
- Unnamed Item
- Unnamed Item
- Probabilistic global well-posedness for the supercritical nonlinear harmonic oscillator
- 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
- Construction of a Gibbs measure associated to the periodic Benjamin-Ono equation
- Random data Cauchy theory for supercritical wave equations. II. A global existence result
- Random data Cauchy theory for supercritical wave equations I: Local theory
- Smoothing properties and retarded estimates for some dispersive evolution equations
- Rapidly decaying solutions of the nonlinear Schrödinger equation
- Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
- Periodic nonlinear Schrödinger equation and invariant measures
- Remarks on scattering for nonlinear Schrödinger equations
- Invariant measures for the 2D-defocusing nonlinear Schrödinger equation
- Two-dimensional nonlinear Schrödinger equation with random radial data
- A sharp scattering condition for focusing mass-subcritical nonlinear Schrödinger equation
- Consequences of the choice of a particular basis of \(L^2(S^3)\) for the cubic wave equation on the sphere and the Euclidean space
- Long time dynamics for the one dimensional non linear Schrödinger equation
- Asymptotically-Free Solutions for the Short-Range Nonlinear Schrödinger Equation
- On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ^{𝕕}, 𝕕≥3
- Random Data Cauchy Theory for Nonlinear Wave Equations of Power-Type on ℝ3
- Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation
- The asymptotic behavior of nonlinear Schrödinger equations
- ASYMPTOTICALLY LINEAR SOLUTIONS IN H1 OF THE 2-D DEFOCUSING NONLINEAR SCHRöDINGER AND HARTREE EQUATIONS
- Endpoint Strichartz estimates
- INHOMOGENEOUS STRICHARTZ ESTIMATES
- Large Data Low Regularity Scattering Results for the Wave Equation on the Euclidean Space
- Almost sure scattering for the energy-critical NLS with radial data below H1(R4)
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