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arxiv: math/0510343 · v3 · submitted 2005-10-17 · 🧮 math.AP · math.CA

The influence of time-periodic dissipation on energy and dispersive estimates

classification 🧮 math.AP math.CA
keywords dissipationequationsestimatesfrequenciesinfluencetheorytime-periodica-priori
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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.

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