一类非星形障碍物临界非线性波动方程的渐近性
偏微分方程分析
2013-05-17 v2
摘要
对于3+1维非俘获障碍物外部区域上的能量临界非线性波动方程，散射在星形情形下是已知的。本文将散射推广到一类称为“外部照明”的非星形障碍物。我们使用的主要工具是带权乘子法，该方法推广了Morawetz乘子以适应障碍物的几何形状。
引用
@article{arxiv.1206.0272,
title = {Asymptotics of the critical non-linear wave equation for a class of non star-shaped obstacles},
author = {Farah Abou Shakra},
journal= {arXiv preprint arXiv:1206.0272},
year = {2013}
}
备注
corrected typos and updated references, to appear in JHDE, arXiv admin note: text overlap with arXiv:0805.4733 by other authors