Resonance effects for linear wave equations with scale invariant oscillating damping

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Resonance in context of PDEs (35B34) Abstract hyperbolic equations (35L90)

Cites Work

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On the energy estimates of the wave equation with time dependent propagation speed asymptotically monotone functions
Wave equations with time-dependent dissipation. I: Non-effective dissipation
Wave equations with time-dependent dissipation. II: Effective dissipation
\(C^m\)-theory of damped wave equations with stabilisation
On the influence of time-periodic dissipation on energy and dispersive estimates
The total energy decay of solutions for the wave equation with a dissipative term
On the asymptotic behavior of solutions of semi-linear wave equations
Energy decay of solutions of dissipative wave equations
Asymptotic behavior of solutions of quasilinear hyperbolic equations with linear damping
On \(t\)-dependent hyperbolic systems. II.
Quantization of energy and weakly turbulent profiles of solutions to some damped second-order evolution equations
Diffusion phenomenon in Hilbert spaces and applications
On the asymptotic behavior of the energy for the wave equations with time depending coefficients
\( \sigma \)-evolution models with low regular time-dependent effective structural damping
The Remarkable Effectiveness of Time-Dependent Damping Terms for Second Order Evolution Equations
Solution representations for a wave equation with weak dissipation
Diffusion phenomenon for abstract linear wave equations with time decaying coefficients of propagation and dissipation
Optimal derivative loss for abstract wave equations
On the asymptotic behavior of the energy for evolution models with oscillating time-dependent damping
Weighted energy method for semilinear wave equations with time-dependent damping