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Nondispersive decay for the cubic wave equation

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arxiv 1304.4135 v1 pith:O3NWEX6S submitted 2013-04-15 math.AP gr-qcmath-phmath.MP

Roland Donninger , An{i}l Zenginoğlu This is my paper · ORCID
classification math.APgr-qcmath-phmath.MP
keywords cubicequationinitialwaveassumptionsco-dimensionconsiderdata
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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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  1. Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay

    gr-qc 2026-08 conditional novelty 6.0 of 10

    Homothetic hyperboloidal coordinates give semilinear wave tails the same exponential decay rate at every compactified radius, removing the late-time resolution bottleneck.

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