On the Uniform Decay of the Local Energy

Vodev, Georgi. "On the Uniform Decay of the Local Energy." Serdica Mathematical Journal 25.3 (1999): 191-206. <http://eudml.org/doc/11514>.

@article{Vodev1999,
abstract = {It is proved in [1],[2] that in odd dimensional spaces any uniform decay of the local energy implies that it must decay exponentially. We extend this to even dimensional spaces and to more general perturbations (including the transmission problem) showing that any uniform decay of the local energy implies that it must decay like O(t^(−2n) ), t ≫ 1 being the time and n being the space dimension.},
author = {Vodev, Georgi},
journal = {Serdica Mathematical Journal},
keywords = {Cutoff Resolvent; Local Energy Decay; cutoff resolvent; local energy decay},
language = {eng},
number = {3},
pages = {191-206},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On the Uniform Decay of the Local Energy},
url = {http://eudml.org/doc/11514},
volume = {25},
year = {1999},
}

TY - JOUR
AU - Vodev, Georgi
TI - On the Uniform Decay of the Local Energy
JO - Serdica Mathematical Journal
PY - 1999
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 25
IS - 3
SP - 191
EP - 206
AB - It is proved in [1],[2] that in odd dimensional spaces any uniform decay of the local energy implies that it must decay exponentially. We extend this to even dimensional spaces and to more general perturbations (including the transmission problem) showing that any uniform decay of the local energy implies that it must decay like O(t^(−2n) ), t ≫ 1 being the time and n being the space dimension.
LA - eng
KW - Cutoff Resolvent; Local Energy Decay; cutoff resolvent; local energy decay
UR - http://eudml.org/doc/11514
ER -