Stability of Spherically Symmetric Wave Maps - Couverture souple

Krieger, Joachim

Couverture souple

ISBN 10 : 0821838776 ISBN 13 : 9780821838778

Editeur : American Mathematical Society, 2006

Synopsis

We study Wave Maps from ${\mathbf{R}}^{2+1}$ to the hyperbolic plane ${\mathbf{H}}^{2}$ with smooth compactly supported initial data which are close to smooth spherically symmetric initial data with respect to some $H^{1+\mu}$, $\mu>0$. We show that such Wave Maps don't develop singularities in finite time and stay close to the Wave Map extending the spherically symmetric data(whose existence is ensured by a theorem of Christodoulou-Tahvildar-Zadeh) with respect to all $H^{1+\delta}, \delta\less\mu_{0}$ for suitable $\mu_{0}(\mu)>0$. We obtain a similar result for Wave Maps whose initial data are close to geodesic ones. This strengthens a theorem of Sideris for this context.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2006
• Langue: anglais
• ISBN 10: 0821838776
• ISBN 13: 9780821838778
• Reliure: Broché
• Nombre de pages: 80
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible