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On the existence and
stability of blowup for wave maps into a negatively curved
target
Roland Donninger and Irfan Glogić |
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Vol. 12 (2019), No. 2, 389–416
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DOI: 10.2140/apde.2019.12.389
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Abstract |
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We consider wave maps on -dimensional Minkowski space. For each dimension we construct a negatively curved, -dimensional target manifold that allows for the existence of a self-similar wave map which provides a stable blowup mechanism for the corresponding Cauchy problem. |
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Keywords
corotational wave maps, self-similar solutions, similarity
coordinates, stable blowup
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Mathematical Subject Classification 2010
Primary: 35L71, 58E20, 58J45
Secondary: 35B35, 35B44
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Milestones
Received: 22 May 2017
Revised: 23 November 2017
Accepted: 14 May 2018
Published: 14 August 2018
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Authors |
| Roland Donninger | |
| Rheinische
Friedrich-Wilhelms-Universität Bonn Mathematisches Institut Bonn Germany |
Universität Wien Fakultät für Mathematik Vienna Austria |
| Irfan Glogić | |
| Department of Mathematics The Ohio State University Columbus, OH United States |
Universität Wien Fakultät für Mathematik Vienna Austria |
