The Blow-up Surface for Nonlinear Wave Equations with Small Spatial Velocity

DOI10.2307/2000968zbMath0686.35009OpenAlexW4234636528MaRDI QIDQ4204486

Luc Oswald, Avner Friedman

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2000968

zbMATH Keywords

nonlinear wave equationsblow-up surface

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) Nonlinear ordinary differential equations and systems (34A34) Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (2)

Convergence of a blow-up curve for a semilinear wave equation ⋮ The blow-up time for higher order semilinear parabolic equations with small leading coefficients

Cites Work

• Differentiability of the blow-up curve for one dimensional nonlinear wave equations
• Finite-time blow-up for solutions of nonlinear wave equations
• Blow-up of solutions of nonlinear wave equations in three space dimensions
• Blow-up theorems for nonlinear wave equations
• The Blow-Up Boundary for Nonlinear Wave Equations
• Biow-up of solutions of some nonlinear hyperbolic equations
• Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)

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