Almost-sure scattering for the radial energy-critical nonlinear wave equation in three dimensions

DOI10.2140/apde.2020.13.1011zbMath1442.35259arXiv1804.09268OpenAlexW2799084391MaRDI QIDQ780524

Bjoern Bringmann

Publication date: 15 July 2020

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.09268

zbMATH Keywords

spherical symmetryprobabilistic well-posednessradial initial dataradial randomization

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

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Randomized final-state problem for the Zakharov system in dimension three, Almost sure scattering at mass regularity for radial Schrödinger equations, Probabilistic small data global well-posedness of the energy-critical Maxwell-Klein-Gordon equation, Almost sure local wellposedness and scattering for the energy-critical cubic nonlinear Schrödinger equation with supercritical data, Stochastic nonlinear Schrödinger equations in the defocusing mass and energy critical cases, Asymptotic stability of small ground states for NLS under random perturbations, Almost sure well-posedness and scattering of the 3D cubic nonlinear Schrödinger equation, Almost sure well-posedness for the cubic nonlinear Schrödinger equation in the super-critical regime on \(\mathbb{T}^d\), \(d\geq 3\), Almost sure scattering for the nonlinear Klein-Gordon equations with Sobolev critical power, Stable blowup for the focusing energy critical nonlinear wave equation under random perturbations, On the almost sure scattering for the energy-critical cubic wave equation with supercritical data, Almost sure scattering for the energy critical nonlinear wave equation

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