Oscillation or nonoscillation property for semilinear wave equations.

DOI10.1016/S0377-0427(03)00492-8zbMath1036.35148MaRDI QIDQ1426812

Hiroshi Uesaka

Publication date: 15 March 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

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 (3)

Oscillation or nonoscillation property for semilinear wave equations. ⋮ Initial boundary value problem for semilinear hyperbolic equations and parabolic equations with critical initial data ⋮ Oscillatory properties for semilinear degenerate hyperbolic equations of second order

Cites Work

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• Blow-up of solutions of nonlinear wave equations in three space dimensions
• A pointwise oscillation property of semilinear wave equations with time-dependent coefficients
• Oscillation or nonoscillation property for semilinear wave equations.
• A pointwise oscillation property of semilinear wave equations with time-dependent coefficients. II.
• Existence of a global solution to a semi–linear wave equation with slowly decreasing initial data in three space dimensions
• Oscillatory behavior of solutions of nonlinear wave equations

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