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

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

2005-10-17

arxiv.org/abs/math/0510343v3

Hiroshima Math. J. 38/3:397-410, 2008

Mathematics

Analysis of PDEs

9 pages

Scientific paper

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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