Nondispersive decay for the cubic wave equation
arXiv:1304.4135 · doi:10.2140/apde.2014.7.461
Abstract
We consider the hyperboloidal initial value problem for the cubic focusing wave equation. Without symmetry assumptions, we prove the existence of a co-dimension 4 Lipschitz manifold of initial data that lead to global solutions in forward time which do not scatter to free waves.
37 pages, 3 figures
References in corpus (7)
- Hyperboloidal foliations and scri-fixing
- Relaxation of wave maps exterior to a ball to harmonic maps for all data
- Stable self-similar blowup in energy supercritical Yang-Mills theory
- Stable blow up dynamics for energy supercritical wave equations
- Non-dispersive vanishing and blow up at infinity for the energy critical nonlinear Schrödinger equation in R^3
- Threshold phenomenon for the quintic wave equation in three dimensions
- Characterization of large energy solutions of the equivariant wave map problem: II