Abstract
We will consider the resolution of the 3D non linear wave equation under the assumption of spherical symmetry on the euclidean 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.
| Original language | English |
|---|---|
| Pages (from-to) | 1-49 |
| Number of pages | 49 |
| Journal | Communications in Partial Differential Equations |
| Volume | 38 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 2013 |
| Externally published | Yes |
Keywords
- Invariant measures
- Non-linear wave equation
- Penrose transform