短程情形下渐近欧几里得奇数维流形上波动方程的改进局部能量衰减
偏微分方程分析
2011-07-27 v1 数学物理
math.MP
摘要
我们证明了在短程情形下，奇数维渐近欧几里得流形上波动方程的改进局部能量衰减。精确衰减率取决于度量向欧几里得度量的衰减。我们还给出了加权空间之间波动传播子预解式的幂的估计。
引用
@article{arxiv.1107.5251,
title = {Improved local energy decay for the wave equation on asymptotically Euclidean odd dimensional manifolds in the short range case},
author = {Jean-Francois Bony and Dietrich Hafner},
journal= {arXiv preprint arXiv:1107.5251},
year = {2011}
}
备注
14 pages