Open Access
November 2008 On the influence of time-periodic dissipation on energy and dispersive estimates
Jens Wirth
Hiroshima Math. J. 38(3): 397-410 (November 2008). DOI: 10.32917/hmj/1233152777

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.

Citation

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Jens Wirth. "On the influence of time-periodic dissipation on energy and dispersive estimates." Hiroshima Math. J. 38 (3) 397 - 410, November 2008. https://doi.org/10.32917/hmj/1233152777

Information

Published: November 2008
First available in Project Euclid: 28 January 2009

zbMATH: 1172.35442
MathSciNet: MR2477749
Digital Object Identifier: 10.32917/hmj/1233152777

Subjects:
Primary: 35L15
Secondary: 35B45

Keywords: a priori estimates , dissipation , wave equation

Rights: Copyright © 2008 Hiroshima University, Mathematics Program

Vol.38 • No. 3 • November 2008
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