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

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.

preprint2015arXivOpen access
Ovidiu CostinRoland DonningerIrfan GlogićMin Huang
math.APmath-phmath.MPmath.SP
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Ovidiu CostinRoland DonningerIrfan GlogićMin Huang

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