Some oscillatory properties of the wave equation in several space dimensions

DOI10.1016/0022-1236(88)90050-XzbMath0656.35099MaRDI QIDQ1109975

Thierry Cazenave, Alain Haraux

Publication date: 1988

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

oscillationDirichlet boundary conditionnon-zero solutions

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)

Related Items

On the vibrations of rectangular plates, Super-solutions of eigenvalue problems and the oscillation properties of second order evolution equations, Remarks on weak stabilization of semilinear wave equations, On the propagation of confined waves along the geodesics, Oscillation or nonoscillation property for semilinear wave equations., Differential inequalities and equations in Banach spaces with a cone, Oscillations for Liénard type equations, Oscillation of solutions of nonlinear wave equations, Oscillations of a nonlinearly damped extensible beam, A class of nonlinear, completely integrable abstract wave equations, Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom, Oscillatory properties for semilinear degenerate hyperbolic equations of second order

Cites Work

• Oscillations of anharmonic Fourier series and the wave equation
• A hyperbolic problem of second order with unilateral constraints: The vibrating string with a concave obstacle
• On continuity of functions with values in various Banach spaces
• Oscillatory Phenomena Associated to Semilinear Wave Equations in One Spatial Dimension
• An Abstract Oscillation Theorem
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