凸障碍外部波动方程解的全局 Strichartz 估计
偏微分方程分析
2007-05-23 v3
摘要
在本文中，我们证明关于凸障碍外部波动方程解的某些局部 Strichartz 估计可以推广为在空间和时间上均为全局的估计。这推广了 H. Smith 与 C. Sogge 此前在奇数空间维数下所完成的工作。
关键词
引用
@article{arxiv.math/0210227,
title = {Global Strichartz Estimates for Solutions to the Wave Equation Exterior to a Convex Obstacle},
author = {Jason Metcalfe},
journal= {arXiv preprint arXiv:math/0210227},
year = {2007}
}
备注
17 pages. Exposition simplified, error concerning the range of admissible $\gamma$ corrected, and the two dimensional argument was removed due to errors. To appear, Trans. Amer. Math. Soc