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

Irfan Glogi\'c; Min Huang; Ovidiu Costin; Roland Donninger

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

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arxiv 1502.06280 v1 pith:ODTSLRRF submitted 2015-02-22 math.AP math-phmath.MPmath.SP

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

Ovidiu Costin , Roland Donninger , Irfan Glogi\'c , Min Huang This is my paper

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keywords self-similarstabilitynonlinearwaveequationequationssolutionsapplicable

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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.

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

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