Solution globale d'une équation non linéaire sur une variété hyperbolique
type: Item
instance of: scholarly article
title: Solution globale d'une équation non linéaire sur une variété hyperbolique
zbMATH Open document ID: 0554.58049
author: Francis Cagnac
author: Y. Choquet-Bruhat
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 1984-01-01T00:00:00Z
review text: The authors prove the existence of a global and unique solution of the Cauchy problem for the equation \(\square_ gu+au+bu^ 3=0\) on a globally hyperbolic 4-dimensional manifold (V,g) when the Cauchy data are given on a space-like section and a,b are given positive functions on V.
Mathematics Subject Classification ID: 58J45
Mathematics Subject Classification ID: 58J47
Mathematics Subject Classification ID: 35L70
zbMATH DE Number: 3883274
zbMATH Keywords: non-linear wave equation
zbMATH Keywords: global solutions
zbMATH Keywords: uniqueness of global solutions
zbMATH Keywords: Cauchy problem
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3883274