# On the Uniform Decay of the Local Energy

Serdica Mathematical Journal (1999)

- Volume: 25, Issue: 3, page 191-206
- ISSN: 1310-6600

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topVodev, 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 -

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