A uniform local energy decay property is discussed to a linear hyperbolic equation with spatial variable coefficients. We shall deal with this equation in an exterior domain with a star-shaped complement. Our advantage is that we assume algebraic order weight restrictions as $\vert x\vert \to +\infty$ on the initial data in order to derive the uniform local energy decay, and its proof is quite simple.
Publié le : 2007-02-15
Classification:
hyperbolic equation,
exterior mixed problem,
weighted initial data,
local energy decay,
35L05,
35B40
@article{1285766662,
author = {IKEHATA, Ryo and SOBUKAWA, Genta},
title = {Local energy decay for some hyperbolic equations with initial data decaying slowly near infinity},
journal = {Hokkaido Math. J.},
volume = {36},
number = {4},
year = {2007},
pages = { 53-71},
language = {en},
url = {http://dml.mathdoc.fr/item/1285766662}
}
IKEHATA, Ryo; SOBUKAWA, Genta. Local energy decay for some hyperbolic equations with initial data decaying slowly near infinity. Hokkaido Math. J., Tome 36 (2007) no. 4, pp. 53-71. http://gdmltest.u-ga.fr/item/1285766662/