Almost sure scattering for the energy critical nonlinear wave equation

DOI10.1353/ajm.2021.0050zbMath1482.35282arXiv1812.10187OpenAlexW4245334317MaRDI QIDQ5024334

Bjoern Bringmann

Publication date: 31 January 2022

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.10187

zbMATH Keywords

microlocal randomizationrandom perturbations of the initial dataunit-scale decomposition

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) PDEs with randomness, stochastic partial differential equations (35R60) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Related Items (8)

Almost sure scattering at mass regularity for radial Schrödinger equations ⋮ Almost sure global well-posedness for the fourth-order nonlinear Schrödinger equation with large initial data ⋮ The wave maps equation and Brownian paths ⋮ 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 ⋮ On the almost sure scattering for the energy-critical cubic wave equation with supercritical data ⋮ Randomization improved Strichartz estimates and global well-posedness for supercritical data

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