Global well-posedness of the energy subcritical nonlinear wave equation with initial data in a critical space

TL;DR

This paper proves global well-posedness for a defocusing nonlinear wave equation in three spatial dimensions with initial data in a critical Besov space, without requiring radial symmetry.

Contribution

It establishes the global well-posedness of the energy subcritical nonlinear wave equation in a critical Besov space without symmetry assumptions.

Findings

Global well-posedness proven for the nonlinear wave equation

Initial data in a critical Besov space suffices for well-posedness

No radial symmetry assumption needed

Abstract

In this paper we prove global well-posedness for the defocusing, energy-subcritical, nonlinear wave equation on $\mathbb{R}^{1 + 3}$ with initial data in a critical Besov space. No radial symmetry assumption is needed.