Hiroshima Mathematical Journal

On the influence of time-periodic dissipation on energy and dispersive estimates

Jens Wirth

Full-text: Open access

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.

Article information

Source
Hiroshima Math. J., Volume 38, Number 3 (2008), 397-410.

Dates
First available in Project Euclid: 28 January 2009

Permanent link to this document
https://projecteuclid.org/euclid.hmj/1233152777

Digital Object Identifier
doi:10.32917/hmj/1233152777

Mathematical Reviews number (MathSciNet)
MR2477749

Zentralblatt MATH identifier
1172.35442

Subjects
Primary: 35L15: Initial value problems for second-order hyperbolic equations
Secondary: 35B45: A priori estimates

Keywords
Wave equation dissipation a priori estimates

Citation

Wirth, Jens. On the influence of time-periodic dissipation on energy and dispersive estimates. Hiroshima Math. J. 38 (2008), no. 3, 397--410. doi:10.32917/hmj/1233152777. https://projecteuclid.org/euclid.hmj/1233152777


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