Remarks on stability and diffusion in high-dimensional Hamiltonian systems and partial differential equations
Remarks on stability and diffusion in high-dimensional Hamiltonian systems and partial differential equations
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DOI：
10.1017/s0143385703000750
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发表时间：
2004-10
影响因子：
0.9
通讯作者：
J. Bourgain
中科院分区：
文献类型：
--
作者：
J. Bourgain
这是一个部分调查的各种发展的经典KAM理论在动力系统的无限维格点模型和哈密顿偏微分方程。特别强调的是Nekhoroshev稳定性和增长的更高的Sobolev规范。同时也给出了一些新的结果。
This is a partial survey of various developments of the classical KAM theory in dynamical systems to infinite-dimensional lattice models and Hamiltonian PDEs. Particular emphasis is given on Nekhoroshev stability and growth of higher Sobolev norms. Some new results are also presented.