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arXiv:1304.4135 [math.AP]AbstractReferencesReviewsResources

Nondispersive decay for the cubic wave equation

Roland Donninger, Anıl Zenginoğlu

Published 2013-04-15Version 1

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.

Comments: 37 pages, 3 figures
Journal: Anal. PDE 7 (2014), no. 2, 461-495
Categories: math.AP, gr-qc, math-ph, math.MP
Subjects: 35L05, 35L71, 35Q75, 58J45, 83C30
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