Nondispersive decay for the cubic wave equation

Roland Donninger, Anıl Zenginoğlu

Type: Article

Publication Date: 2014-05-30

Citations: 8

DOI: https://doi.org/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.

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