-
Nondispersive radial solutions to energy supercritical non-linear wave equations, with applications
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 133, Number 4, August 2011
- pp. 1029-1065
- 10.1353/ajm.2011.0029
- Article
- Additional Information
- Purchase/rental options available:
Buy Issue for $25 at JHUP
Abstract
In this paper we establish optimal pointwise decay estimates for non-dispersive (compact) radial solutions to non-linear wave equations in 3 dimensions, in the energy supercritical range. As an application, we show for the full energy supercritical range, in the defocusing case, that if the scale invariant Sobolev norm of a radial solution remains bounded in its maximal interval of existence, then the solution must exist for all times and scatter.
collapse
You are not currently authenticated.
If you would like to authenticate using a different subscribed institution or have your own login and password to Project MUSE
Authenticate
- Purchase/rental options available:
