Stability and Instability of the Wave Equation Solutions in a Pulsating Domain
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Publication:4235694
DOI10.1142/S0129055X98000306zbMath0934.35084MaRDI QIDQ4235694
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Publication date: 13 April 2000
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Dirichlet problemd'Alembert equationboundedness and periodicity of the energyNeumann-problemunlimited growth
Initial-boundary value problems for second-order hyperbolic equations (35L20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)
Related Items (10)
A remark on observability of the wave equation with moving boundary ⋮ On functional equations leading to exact solutions for standing internal waves ⋮ Photon generation from vacuum in nondegenerate cavities with regular and random periodic displacements of boundaries ⋮ Permuting quantum eigenmodes by a quasi-adiabatic motion of a potential wall ⋮ Stabilization of the wave equation with moving boundary ⋮ Observability and stabilization of the wave equation with moving boundary or pointwise feedback ⋮ Stability on time-dependent domains ⋮ An example of pure stability for the wave equation with moving boundary ⋮ Torus maps and the problem of a one-dimensional optical resonator with a quasiperiodically moving wall ⋮ Energy bounds for a moving boundary initial boundary value problem for the semi-linear wave equation
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