Hyperboloidal evolution and global dynamics for the focusing cubic wave equation

Annegret Y. Burtscher, Roland Donninger

Published 2015-11-27Version 1

In the framework of a hyperboloidal initial value formulation for the cubic wave equation, we identify a codimension-1 Lipschitz manifold of data leading to solutions which converge to Lorentz boosts of the selfsimilar attractor $\sqrt{2}/t$. These global solutions thus exhibit a slow nondispersive decay, in contrast to small data evolutions.