Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/446

 Title: On the Uniform Decay of the Local Energy Authors: Vodev, Georgi Keywords: Cutoff ResolventLocal Energy Decay Issue Date: 1999 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 25, No 3, (1999), 191p-206p 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. URI: http://hdl.handle.net/10525/446 ISSN: 1310-6600 Appears in Collections: Volume 25 Number 3

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