Free decay of solutions to wave equations on a curved background
Serge Alinhac (2005)
Bulletin de la Société Mathématique de France
Similarity:
We investigate for which metric (close to the standard metric ) the solutions of the corresponding d’Alembertian behave like free solutions of the standard wave equation. We give rather weak (, non integrable) decay conditions on ; in particular, decays like along wave cones.