Almost sure scattering of the energy-critical NLS in \(d > 6\)
DOI10.3934/cpaa.2023106zbMath1527.35516arXiv2207.01399OpenAlexW4386840262MaRDI QIDQ6068755
Publication date: 13 November 2023
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.01399
nonlinear Schrödinger equationrandom initial dataenergy-criticalalmost sure well-posednessalmost sure scattering
Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60)
Cites Work
- Unnamed Item
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- Stability of solutions for nonlinear Schrödinger equations in critical spaces
- Random data Cauchy theory for the generalized incompressible Navier-Stokes equations
- Random data Cauchy theory for supercritical wave equations I: Local theory
- Almost sure local well-posedness and scattering for the 4D cubic nonlinear Schrödinger equation
- Randomized final-data problem for systems of nonlinear Schrödinger equations and the Gross-Pitaevskii equation
- Almost sure global well-posedness for the energy-critical defocusing nonlinear wave equation on \(\mathbb R^d\), \(d=4\) and \(5\)
- Randomization improved Strichartz estimates and global well-posedness for supercritical data
- The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions
- Almost sure local wellposedness and scattering for the energy-critical cubic nonlinear Schrödinger equation with supercritical data
- On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ^{𝕕}, 𝕕≥3
- Sharp spherically averaged Strichartz estimates for the Schrödinger equation
- Probabilistic Sobolev Embeddings, Applications to Eigenfunctions Estimates
- Random Data Cauchy Theory for Nonlinear Wave Equations of Power-Type on ℝ3
- Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
- Random data final-state problem for the mass-subcritical NLS in $L^2$
- Almost sure scattering for the 4D energy-critical defocusing nonlinear wave equation with radial data
- Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS
- Injections de Sobolev probabilistes et applications
- Almost sure scattering for the energy-critical NLS with radial data below H1(R4)
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