高维自相似波映射的模态稳定性
偏微分方程分析
2016-11-23 v3 数学物理
math.MP
谱理论
摘要
我们考虑从维闵可夫斯基空间到球面的共旋波映射。最近，Bizoń和Biernat为每一维找到了显式自相似解。我们给出了这些自相似波映射模态稳定性的严格证明。
引用
@article{arxiv.1604.00303,
title = {Mode stability of self-similar wave maps in higher dimensions},
author = {Ovidiu Costin and Roland Donninger and Irfan Glogić},
journal= {arXiv preprint arXiv:1604.00303},
year = {2016}
}
备注
16 pages; v2 second reference to [4] removed, implicit claim in case k=2 now stated as a lemma; v3 section 5 added, references updated, to appear in Comm. Math. Phys