Remarks on the blow-up boundaries and rates for nonlinear wave equations

DOI10.1016/S0362-546X(97)00670-6zbMath0932.35150OpenAlexW1992535609MaRDI QIDQ4259717

Masahito Ohta, Hiroyuki Takamura

Publication date: 30 August 1999

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00670-6

zbMATH Keywords

linearizationvarious shapes of blow-up boundaries depending on the initial data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (6)

Convergence of a blow-up curve for a semilinear wave equation ⋮ Small data blow-up for a system of nonlinear Schrödinger equations ⋮ Parameteric resonance and nonexistence of the global solution to nonlinear wave equations ⋮ The blow-up curve of solutions to one dimensional nonlinear wave equations with the Dirichlet boundary conditions ⋮ On global existence of solutions to nonlinear wave equations of wave map type ⋮ Regularity of the blow-up curve at characteristic points for nonlinear wave equations

Cites Work

• Differentiability of the blow-up curve for one dimensional nonlinear wave equations
• The Blow-Up Boundary for Nonlinear Wave Equations
• Global existence for nonlinear wave equations
• Blow-up Surfaces for Nonlinear Wave Equations, I
• The blow-up problem for exponential nonlinearities
• The partial differential equation u_t + uu_x = μ_xx

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