Global well-posedness and scattering for the defocusing energy-supercritical cubic nonlinear wave equation

DOI10.1016/j.jfa.2012.06.001zbMath1258.35147arXiv1006.4168OpenAlexW2963866407MaRDI QIDQ452363

Aynur Bulut

Publication date: 21 September 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.4168

zbMATH Keywords

scatteringnonlinear wave equationglobal well-posednesswave propagator

Mathematics Subject Classification ID

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

Related Items

On blowup in supercritical wave equations, Scattering for defocusing energy subcritical nonlinear wave equations, The Defocusing Energy-Supercritical Nonlinear Schrödinger Equation in High Dimensions, Scattering for radial, semi-linear, super-critical wave equations with bounded critical norm, The defocusing energy-supercritical NLS in four space dimensions, Energy distribution of solutions to defocusing semi-linear wave equation in two dimensional space, 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, Stable self-similar blowup in energy supercritical Yang-Mills theory, The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions, Scattering theory for the radial \(\dot{H}^{\frac{1}{2}}\)-critical wave equation with a cubic convolution, Scattering theory for the defocusing energy-supercritical nonlinear wave equation with a convolution, Conditional global existence and scattering for a semi-linear Skyrme equation with large data, A semi-linear shifted wave equation on the hyperbolic spaces with application on a quintic wave equation on $\mathbb {R}^2$, Nonlinear profile decomposition for the \(\dot{H}^{\frac{1}{2}} \times \dot{H}^{- \frac{1}{2}}(\mathbb{R}^d)\) energy subcritical wave equation, Scattering theory for energy-supercritical Klein-Gordon equation, Blow-up of the critical Sobolev norm for nonscattering radial solutions of supercritical wave equations on $\mathbb{R}^{3}$, The defocusing energy-supercritical cubic nonlinear wave equation in dimension five

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