Abstract
We study the semilinear wave equation in Schwarzschild metric ((3 + 1)-dimensional space-time). First, we establish that the problem is locally well posed in Hσ for any σ ≥ 1; then we prove the blow up of the solution for every p ∈]2, 1 + √2[ and non-negative non-trivial initial data.
| Original language | English |
|---|---|
| Pages (from-to) | 661-683 |
| Number of pages | 23 |
| Journal | Nuovo Cimento della Societa Italiana di Fisica B |
| Volume | 119 |
| Issue number | 7-9 |
| DOIs | |
| Publication status | Published - 2004 Jul 1 |
| Externally published | Yes |
ASJC Scopus subject areas
- Physics and Astronomy(all)