Global existence for solutions of \(\square u=A| u| ^ p\)

DOI10.1016/0022-0396(89)90169-1zbMath0694.58040OpenAlexW1998157237MaRDI QIDQ909323

Yvonne Choquet-Bruhat

Publication date: 1989

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(89)90169-1

zbMATH Keywords

local existenceglobal existencehyperbolic equations

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15) Hyperbolic equations on manifolds (58J45)

Related Items (7)

Blow-up for semilinear wave equations in four or five space dimensions ⋮ Global nonexistence results for a class of hyperbolic systems ⋮ Slowly decaying solutions for semilinear wave equations in odd space dimensions ⋮ Critical blowup for systems of semilinear wave equations in low space dimensions ⋮ Critical exponent for a nonlinear wave equation with damping ⋮ Weighted decay estimates for the wave equation ⋮ Blow-up results for some nonlinear hyperbolic problems

Cites Work

• Unnamed Item
• Solution globale d'une équation non linéaire sur une variété hyperbolique
• Nonexistence of global solutions to semilinear wave equations in high dimensions
• The Cauchy problem for the O(N). CP(N-1), and GC(N,p) models
• Nonlinear scattering theory at low energy
• Blow-up of solutions of nonlinear wave equations in three space dimensions
• Global solutions of nonlinear hyperbolic equations for small initial data
• Biow-up of solutions of some nonlinear hyperbolic equations
• Existence of global solutions of the Yang-Mills, Higgs and spinor field equations in $3+1$ dimensions

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