Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 343, Issue 1, Pages 299-310Publisher
SPRINGER
DOI: 10.1007/s00220-016-2588-9
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Funding
- Alexander von Humboldt Foundation
- German Federal Ministry of Education and Research
- NSF DMS [1108794]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1108794] Funding Source: National Science Foundation
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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.
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