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.
Publié le : 2008-11-15
Classification:
Wave equation,
dissipation,
a priori estimates,
35L15,
35B45
@article{1233152777,
author = {Wirth, Jens},
title = {On the influence of time-periodic dissipation on energy and dispersive estimates},
journal = {Hiroshima Math. J.},
volume = {38},
number = {1},
year = {2008},
pages = { 397-410},
language = {en},
url = {http://dml.mathdoc.fr/item/1233152777}
}
Wirth, Jens. On the influence of time-periodic dissipation on energy and dispersive estimates. Hiroshima Math. J., Tome 38 (2008) no. 1, pp. 397-410. http://gdmltest.u-ga.fr/item/1233152777/