On the stability of self-similar solutions to nonlinear wave equations

22 Feb 2015 · Costin Ovidiu, Donninger Roland, Glogić Irfan, Huang Min ·

We consider an explicit self-similar solution to an energy-supercritical Yang-Mills equation and prove its mode stability. Based on earlier work by one of the authors, we obtain a fully rigorous proof of the nonlinear stability of the self-similar blowup profile. This is a large-data result for a supercritical wave equation. Our method is broadly applicable and provides a general approach to stability problems related to self-similar solutions of nonlinear wave equations.

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On the stability of self-similar solutions to nonlinear wave equations

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