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• W3098090359 abstract "The focusing cubic wave equation in three spatial dimensions has the explicit solution $sqrt{2}/t$. We study the stability of the blowup described by this solution as $t to 0$ without symmetry restrictions on the data. Via the conformal invariance of the equation we obtain a companion result for the stability of slow decay in the framework of a hyperboloidal initial value formulation. More precisely, we identify a codimension-1 Lipschitz manifold of initial data leading to solutions which converge to Lorentz boosts of $sqrt{2}/t$ as $ttoinfty$. These global solutions thus exhibit a slow nondispersive decay, in contrast to small data evolutions." @default.
• W3098090359 created "2020-11-23" @default.
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• W3098090359 date "2017-05-05" @default.
• W3098090359 modified "2023-09-27" @default.
• W3098090359 title "Hyperboloidal Evolution and Global Dynamics for the Focusing Cubic Wave Equation" @default.
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• W3098090359 doi "https://doi.org/10.1007/s00220-017-2887-9" @default.
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