Global well-posedness and scattering for the radial, defocusing, cubic wave equation with almost sharp initial data

Abstract

In this paper we prove that the cubic wave equation is globally well - posed and scattering for radial initial data lying in a slightly supercritical Sobolev space, and a weighted Sobolev space.

48 pages

References in corpus (1)

• Scattering for the radial 3d cubic wave equation

Cited by in corpus (8)

• Global well-posedness and scattering for the radial, defocusing, cubic nonlinear wave equation
• Scattering for defocusing energy subcritical nonlinear wave equations
• The global well-posedness and scattering for the $5$D defocusing conformal invariant NLW with radial initial data in a critical Besov space
• Scattering theory for subcritical wave equation with inverse square potential
• Global well-posedness and scattering for the radial, defocusing, cubic wave equation with initial data in a critical Besov space
• A sharp Lorentz-invariant Strichartz norm expansion for the cubic wave equation in ${\mathbb{R}}^{1+3}$
• Scattering for the defocusing, cubic nonlinear Schr{ö}dinger equation with initial data in a critical space
• Dynamics of nonlinear wave equations