Global solutions of nonlinear systems on hyperbolic manifolds

DOI10.5802/afst.802zbMath0937.58021OpenAlexW2078095083MaRDI QIDQ1815279

Marcel Dossa

Publication date: 5 February 1998

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_1995_6_4_3_519_0

zbMATH Keywords

hyperbolic manifoldCauchy problemsglobal solutionsnonlinear hyperbolic systems

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Boundary value problems on manifolds (58J32) Higher-order hyperbolic systems (35L55) Hyperbolic equations on manifolds (58J45) Propagation of singularities; initial value problems on manifolds (58J47)

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Conformal scattering theories for tensorial wave equations on Schwarzschild spacetime

Cites Work

• Solution globale d'une équation non linéaire sur une variété hyperbolique
• Global existence of time-dependent Yang-Mills-Higgs monopoles
• The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. I. Local existence and smoothness properties
• Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
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