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

$C^{1,alpha}$ regularity of the blow-up curve at non characteristic points for the one dimensional semilinear wave equation. - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

Abstract : We consider $ux, t$ 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 $R$.

Autor: Nejla Nouaili -

Fuente: https://hal.archives-ouvertes.fr/

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