The influence of time-periodic dissipation on energy estimates
نویسنده
چکیده
In this short note we consider wave equations with a periodic in time dissipation and discuss the effect of parametric resonance in the framework of energy estimates. The approach is based on a treatment for a generalized Mathieu equation related to the periodic dissipation term.
منابع مشابه
On the Influence of Time-periodic Dissipation on Energy and Dispersive Estimates
In this short note we discuss the influence of a time-periodic dissipation term on a-priori estimates for solutions to dissipative wave equations. The approach is based on a diagonalisation argument for high frequencies and results from spectral theory of periodic differential equations / Floquet theory for bounded frequencies. In recent years much attention was paid to hyperbolic equations wit...
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