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Stable blowup for the cubic wave equation in higher dimensions |
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| Authors: | Athanasios Chatzikaleas Roland Donninger |
| Affiliation: | 1. Rheinische Friedrich – Wilhelms – Universität Bonn, Mathematisches Institut, Endenicher Allee 60, D-53115 Bonn, Germany;2. Universität Wien, Fakultät für Mathematik, Oskar-Morgenstern-Platz 1, A-1090 Vienna, Austria |
| Abstract: | We consider the wave equation with a focusing cubic nonlinearity in higher odd space dimensions without symmetry restrictions on the data. We prove that there exists an open set of initial data such that the corresponding solution exists in a backward light-cone and approaches the ODE blowup profile. |
| Keywords: | Corresponding author. |
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