The radial defocusing energy-supercritical cubic nonlinear wave equation in $\mathbb{R}^{{\sf 1}+{\sf 5}}$

DOI10.1088/0951-7715/27/8/1859zbMath1304.35423arXiv1104.2002OpenAlexW3121401803MaRDI QIDQ2877445

Aynur Bulut

Publication date: 22 August 2014

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.2002

zbMATH Keywords

radially symmetric initial datafrequency localized Morawetz inequality

Mathematics Subject Classification ID

Nonlinear waves in solid mechanics (74J30) Scattering theory for PDEs (35P25) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Related Items

On blowup in supercritical wave equations ⋮ The defocusing energy-supercritical NLS in four space dimensions ⋮ Large global solutions for energy supercritical nonlinear wave equations on \(\mathbb{R}^{3+1}\) ⋮ Blow-up criteria below scaling for defocusing energy-supercritical NLS and quantitative global scattering bounds ⋮ Scattering for radial bounded solutions of focusing supercritical wave equations in odd dimensions ⋮ Numerical simulations for the energy-supercritical nonlinear wave equation ⋮ Scattering theory for energy-supercritical Klein-Gordon equation ⋮ The defocusing energy-supercritical cubic nonlinear wave equation in dimension five