渐近欧几里得流形上若干演化方程的局部能量衰减

IF 1.3 1区数学 Q1 MATHEMATICS

Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2010-08-13 DOI:10.24033/ASENS.2166

J. Bony, Dietrich Hafner

引用次数: 24

摘要

本文研究了与\({\mathbb{R}}^{d}\)上欧几里得拉普拉斯量的远程度量摄动有关的几个演化方程的局部能量衰减。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Local Energy Decay for Several Evolution Equations on Asymptotically Euclidean Manifolds

This report is devoted to the study of the local energy decay for several evolution equations associated to long range metric perturbations of the Euclidean Laplacian on \({\mathbb{R}}^{d}\).

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来源期刊

Annales Scientifiques De L Ecole Normale Superieure 数学-数学

CiteScore

3.00

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Annales scientifiques de l''École normale supérieure were founded in 1864 by Louis Pasteur. The journal dealt with subjects touching on Physics, Chemistry and Natural Sciences. Around the turn of the century, it was decided that the journal should be devoted to Mathematics. Today, the Annales are open to all fields of mathematics. The Editorial Board, with the help of referees, selects articles which are mathematically very substantial. The Journal insists on maintaining a tradition of clarity and rigour in the exposition. The Annales scientifiques de l''École normale supérieures have been published by Gauthier-Villars unto 1997, then by Elsevier from 1999 to 2007. Since January 2008, they are published by the Société Mathématique de France.