Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on R

Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on R

We show that the finite time type II blow up solutions for the energy critical nonlinear wave equation on constructed in Krieger, Schlag, and Tartaru ("Slow blow-up solutions for the critical focusing semilinear wave equation", 2009) and Krieger and Schlag ("Full range of blow up expo...

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Auteurs principaux : Burzio Stefano Francesco (Auteur), Krieger Joachim (Auteur)
Format : Livre
Langue : anglais
Titre complet : Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on R / Stefano Burzio, Joachim Krieger
Publié : Providence (R.I.) : American Mathematical Society , C 2022
Description matérielle : 1 vol. (III-75 p.)
Collection : Memoirs of the American Mathematical Society ; 1369
Sujets :
Équations d'onde non linéaires
Éclatement (mathématiques)
Perturbation (mathématiques)
Itération (mathématiques)
Fourier, Transformations de
  • The main theorem and outline of the proof
  • Construction of a two parameter family of approximate blow up solutions
  • Modulation theory; determination of the parameters [gamma]1,2.
  • Iterative construction of blow up solution almost matching the perturbed initial data
  • Proof of theorem 2.1
  • Outlook