Solutions \(C^\infty\) d'une classe de problèmes de Cauchy quasi-linéaires hyperboliques du second ordre sur un conoïde caractéristique

DOI10.5802/afst.1027zbMath1051.35041OpenAlexW2092338835MaRDI QIDQ1432062

Marcel Dossa

Publication date: 14 June 2004

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_2002_6_11_3_351_0

zbMATH Keywords

quasilinear equationcharacteristic conoid\(C^\infty\) smoothness

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)

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Cites Work

• Problème de Cauchy sur un conoide caractéristique pour des équations quasi-linéaires
• \(C^\infty\) solutions of hyperbolic non linear equations. Applications in G.R.G
• Cauchy problems on a characteristic conoid for the (conformal) Einstein vacuum equations and the Yang-Mills-Higgs equations
• Sur les problèmes de Cauchy hyperboliques bien posés
• Reduction of the characteristic initial value problem to the Cauchy problem and its applications to the Einstein equations
• Problème de Cauchy sur un conoïde caractéristique
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