4.7 Article

On blowup of co-rotational wave maps in odd space dimensions

Journal

JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 263, Issue 8, Pages 5090-5119

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2017.06.011

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Funding

  1. Alexander von Humboldt Foundation via a Sofja Kovalevskaja Award
  2. Deutsche Forschungsgemeinschaft (DFG) [CRC 1060]

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We consider co-rotational wave maps from the (1 + d)-dimensional Minkowski space into the d-sphere for d >= 3 odd. This is an energy-supercritical model which is known to exhibit finite-time blowup via self-similar solutions. Based on a method developed by the second author and Schorkhuber, we prove the asymptotic nonlinear stability of the ground-state self-similar solution. (C) 2017 Elsevier Inc. All rights reserved.

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