Large data low regularity scattering results for the 3D wave equation on the Euclidian space

Abstract

We will consider the resolution of the 3D non linear wave equation under the assumption of spherical symmetry on the euclidian space. For this purpose, we will build a non trivial measure on distributions such that there exists a set of full measurement onto which the flow is globally defined. We will then discuss different properties of the solutions.

arXiv comment47 pages