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Communications in Partial Differential Equations Volume 44, 2019 - Issue 1
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Articles

Almost sure scattering for the energy-critical NLS with radial data below H1(R4)

Rowan KillipDepartment of Mathematics, UCLA, Los Angeles, CA, USA; View further author information
,
Jason MurphyDepartment of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO, USACorrespondence[email protected]
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&
Monica VisanDepartment of Mathematics, UCLA, Los Angeles, CA, USA; View further author information
Pages 51-71 | Received 29 Apr 2018, Accepted 21 Sep 2018, Published online: 15 Feb 2019

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Read on this site (2)

Martin Spitz. (2022) Randomized final-state problem for the Zakharov system in dimension three. Communications in Partial Differential Equations 47:2, pages 346-377.
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Bjoern Bringmann. (2020) Stable blowup for the focusing energy critical nonlinear wave equation under random perturbations. Communications in Partial Differential Equations 45:12, pages 1755-1777.
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Articles from other publishers (14)

Ruobing BaiJia Shen & Yifei Wu. (2023) Large Global Solutions for the Energy-Critical Nonlinear Schrödinger Equation. SIAM Journal on Mathematical Analysis 55:5, pages 4193-4218.
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Deng Zhang. (2023) Stochastic nonlinear Schrödinger equations in the defocusing mass and energy critical cases. The Annals of Applied Probability 33:5.
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Mingjuan Chen & Shuai Zhang. (2023) Almost Sure Global Well-Posedness for the Fourth-Order Nonlinear Schrödinger Equation with Large Initial Data. Acta Mathematica Scientia 43:5, pages 2215-2233.
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Nicolas Camps & Louise Gassot. (2023) Pathological Set of Initial Data for Scaling-Supercritical Nonlinear Schrödinger Equations. International Mathematics Research Notices 2023:15, pages 13214-13254.
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Martin Spitz. (2023) Almost sure local wellposedness and scattering for the energy-critical cubic nonlinear Schrödinger equation with supercritical data. Nonlinear Analysis 229, pages 113204.
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Jia Shen, Avy Soffer & Yifei Wu. (2022) Almost Sure Well-Posedness and Scattering of the 3D Cubic Nonlinear Schrödinger Equation. Communications in Mathematical Physics 397:2, pages 547-605.
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Wei Yan, Weimin Wang & Xiangqian Yan. (2022) Convergence problem of the Kawahara equation on the real line. Journal of Mathematical Analysis and Applications 515:1, pages 126386.
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Nicolas Camps. (2022) Scattering for the cubic Schrödinger equation in 3D with randomized radial initial data. Transactions of the American Mathematical Society.
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Jie Chen & Baoxiang Wang. (2022) Almost sure scattering for the nonlinear Klein–Gordon equations with Sobolev critical power. Nonlinear Analysis 217, pages 112732.
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Xiangqian Yan, Yajuan Zhao & Wei Yan. (2022) Convergence problem of Schrödinger equation in Fourier-Lebesgue spaces with rough data and random data. Proceedings of the American Mathematical Society.
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Martin Spitz. (2022) On the almost sure scattering for the energy-critical cubic wave equation with supercritical data. Communications on Pure and Applied Analysis 21:12, pages 4041-4070.
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Junfang Wang, Wei Yan & Xiangqian Yan. (2021) Probabilistic pointwise convergence problem of Schrödinger equations on manifolds. Proceedings of the American Mathematical Society 149:8, pages 3367-3378.
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Van Duong Dinh. (2021) Probabilistic Cauchy theory for the mass-critical fourth-order nonlinear Schrödinger equation. Journal of Mathematical Physics 62:3.
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Bjoern Bringmann. (2020) Almost-sure scattering for the radial energy-critical nonlinear wave equation in three dimensions. Analysis & PDE 13:4, pages 1011-1050.
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