$C^{1,\alpha}$ regularity of the blow-up curve at non characteristic points for the one dimensional semilinear wave equation. - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Communications in Partial Differential Equations Année : 2008

$C^{1,\alpha}$ regularity of the blow-up curve at non characteristic points for the one dimensional semilinear wave equation.

Résumé

We consider $u(x, t)$ a blow-up solution of $\partial_{tt}u = \partial{xx}u + |u|p−1u$, that blows-up in one space dimension. We consider its blow-up curve $T (x)$ and $R$ the set of non characteristic points. We prove that $T (x)$ is of class $C^{1,\alpha}$ in $R$.
Fichier principal
Vignette du fichier
Paper_Nouaili_CPDE.pdf (211.04 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00531312 , version 1 (02-11-2010)

Identifiants

  • HAL Id : hal-00531312 , version 1

Citer

Nejla Nouaili. $C^{1,\alpha}$ regularity of the blow-up curve at non characteristic points for the one dimensional semilinear wave equation.. Communications in Partial Differential Equations, 2008, 33 (8), pp.1540-1548. ⟨hal-00531312⟩
48 Consultations
77 Téléchargements

Partager

Gmail Facebook X LinkedIn More