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Local existence of a solution of a semi-linear wave equation in a neighborhood of initial characteristic hypersurfaces

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Publication:1432084
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DOI10.5802/afst.1044zbMath1047.35101OpenAlexW2332747064MaRDI QIDQ1432084

Aurore Cabet

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_2003_6_12_1_47_0

zbMATH Keywords

uniquenessnull hypersurfacesMinkowski space


Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)


Related Items

On the characteristic initial value problem for nonlinear symmetric hyperbolic systems, including Einstein equations, Existence of global solution and traveling wave of the modified short-wave equation



Cites Work

  • Unnamed Item
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  • On characteristic initial-value and mixed problems
  • Problème de Cauchy sur un conoide caractéristique pour des équations quasi-linéaires
  • Partial differential equations. 3: Nonlinear equations
  • Reduction of the characteristic initial value problem to the Cauchy problem and its applications to the Einstein equations
  • On the regular and the asymptotic characteristic initial value problem for Einstein’s vacuum field equations
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