能量临界波映射在等变情形下的孤子分解
偏微分方程分析
2022-01-24 v2
摘要
我们考虑等变波映射方程 ，涵盖所有等变类 。我们证明每一个有限能量解都随时间连续分解为渐近解耦调和映射与自由辐射的叠加。
引用
@article{arxiv.2106.10738,
title = {Soliton resolution for energy-critical wave maps in the equivariant case},
author = {Jacek Jendrej and Andrew Lawrie},
journal= {arXiv preprint arXiv:2106.10738},
year = {2022}
}
备注
78 pages; in the new version we have included Proposition 1.6 (and its proof in Section 5.4), which shows that the only solutions that are pure multi-bubbles in both time directions are the stationary solutions