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Universality of Blow up Profile for Small Blow up Solutions to the Energy Critical Wave Map Equation

  • Published:2017-05-16 Issue:22 Volume:2018 Page:6961-7025
  • ISSN:1073-7928
  • Container-title:International Mathematics Research Notices
  • language:en
  • Short-container-title:

Author:

Duyckaerts Thomas12,Jia Hao3,Kenig Carlos4,Merle Frank5

Affiliation:

1. LAGA, Institut Galilée, Université Paris 13, Université Sorbonne Paris Cité, Villetaneuse, FR

2. Institut Universitaire de France

3. School of Mathematics, Institute for Advanced Study, Princeton, NJ, USA

4. Department of Mathematics, University of Chicago, University Avenue, Chicago, IL, USA

5. Laboratoire AGM, UFR sciences et techniques, Adolphe Chauvin, Cergy-Pontoise Cedex, France

Funder

ERC

NSF

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Reference58 articles.

1. “Metastable states of two-dimensional isotropic ferromagnets.”;Belavin,1975

2. “The stability of classical solutions.”;Bogomolnyi,1976

3. “Large Solutions for Harmonic Maps in Two Dimensions.”;Brezis;Communications in Mathematical Physics,1983

4. “On the asymptotic behavior of spherically symmetric wave maps.”;Christodoulou;Duke Mathematical Journal,1993

5. “On the regularity of spherically symmetric wave maps.”;Christodoulou;Communications on Pure and Applied Mathematics,1993

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