Nondispersive decay for the cubic wave equation
Analysis of PDEs
2016-01-20 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1304.4135,
title = {Nondispersive decay for the cubic wave equation},
author = {Roland Donninger and Anıl Zenginoğlu},
journal= {arXiv preprint arXiv:1304.4135},
year = {2016}
}
Comments
37 pages, 3 figures