On stability of type II blow up for the critical nonlinear wave equation in R3+1. Memoirs of the American Mathematical Society; volume 267, number 1301 (fifth of 7 numbers).

Krieger, Joachim K.

ISBN 10: 147044299X / ISBN 13: 9781470442996

Edité par Providence, AMS, American Mathematical Society, 2020

A propos de cet article

Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-00034 9781470442996 Sprache: Englisch Gewicht in Gramm: 350.

N° de réf. du vendeur 2482533

Détails bibliographiques

• Titre: On stability of type II blow up for the critical nonlinear wave equation in R3+1. Memoirs of the American Mathematical Society; volume 267, number 1301 (fifth of 7 numbers).
• Éditeur: Providence, AMS, American Mathematical Society
• Date de parution: 2020
• Langue: anglais
• ISBN à 10 chiffres: 147044299X
• ISBN à 13 chiffres: 9781470442996
• Reliure: Softcover
• Catalogues du vendeur:
  • SA MATHEMATIK

A propos de ce titre

Synopsis

The author shows that the finite time type II blow up solutions for the energy critical nonlinear wave equation $ \Box u = -u^5 $ on $\mathbb R^3+1$ constructed in Krieger, Schlag, and Tataru (2009) and Krieger and Schlag (2014) are stable along a co-dimension three manifold of radial data perturbations in a suitable topology, provided the scaling parameter $\lambda (t) = t^-1-\nu $ is sufficiently close to the self-similar rate, i. e. $\nu >0$ is sufficiently small. Our method is based on Fourier techniques adapted to time dependent wave operators of the form $ -\partial _t^2 + \partial _r^2 + \frac 2r\partial _r +V(\lambda (t)r) $ for suitable monotone scaling parameters $\lambda (t)$ and potentials $V(r)$ with a resonance at zero.

À propos de l?auteur

Joachim K Krieger, Ecole Polytechnique Federale de Lausanne, Switzerland