paper

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

arXiv:math/0510343

Abstract

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.

arXiv comment9 pages