Global existence for solutions of the focusing wave equation with the compactness property

Abstract

We prove that every solution of the focusing energy-critical wave equation with the compactness property is global. We also give similar results for supercritical wave and Schrödinger equations.

References in corpus (1)

• Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case

Cited by in corpus (1)

• Strichartz estimates in similarity coordinates and stable blowup for the critical wave equation