arXiv:1712.03833 Abstract | arXiv Analytics

arXiv:1712.03833 [math.AP]Abstract References Reviews Resources

Stable blowup for the cubic wave equation in higher dimensions

Athanasios Chatzikaleas, Roland Donninger

Published 2017-12-11Version 1

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.

Categories: math.AP, math-ph, math.MP

Keywords: cubic wave equation, higher dimensions, stable blowup, higher odd space dimensions, initial data

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