Palamodov完全不稳定性猜想的一个证明
动力系统
2022-07-19 v5
摘要
我们首次给出拉格朗日动力学中Palamodov完全不稳定性猜想的详细证明。这证明了Lyapunov和Arnold提出的较早的相关Lyapunov不稳定性猜想，并将实解析势类中的Lagrange-Dirichlet逆问题归结为非严格极小临界点的Lyapunov不稳定性。它还证明了在外静电场存在下带电刚体的不稳定性。
引用
@article{arxiv.2108.05829,
title = {A proof of the Palamodov's total instability conjecture},
author = {J. M. Burgos},
journal= {arXiv preprint arXiv:2108.05829},
year = {2022}
}
备注
There is a mistake in the proof. The second term of the last equation in Lemma 2.2 does not have the desired asymptotic behavior. I am grateful with V. P. Palamodov for pointing out this mistake