《不變流形和色散型哈密頓發展方程》是2015年世界圖書出版公司出版的著作，作者是Kenji Nakanishi，Withelm Schlag 。
基本介紹
- 中文名：《不變流形和色散型哈密頓發展方程》
- 作者：Kenji Nakanishi，Withelm Schlag
- 出版時間：2015年07月01日
- 出版社： 世界圖書出版公司
- ISBN：9787510094682
內容簡介,作者簡介,目錄,
內容簡介
Erwin Bolthausen (Managing Editorl, Freddy Delbaen, Thomas Kappeler Managing Editor), Christoph Schwab, Michael Struwe, Gisbert Wustholz
Mathematics in Zurich has a long and distinguished tradition, in which the writing of lecture notes volumes and research monographs plays a prominent part. The Zurich Lectures in Advonced Mathematics seriesaims to make some of these publications better known to a wider audience. The series has three main con- stituents: lecture notes on advanced topics given by internationally renowned experts, graduate text books designed for the joint graduate program in Mathematics of the ETH and the Universit\/ of Zurich, as well as contributions from researchers in residence at the mathematics research institute, FIM-ETH. Moderately
priced, concise and lively in style, the volumes of this series will appeal to researchers and students alike, who seek an informed introduction to important areas of current research.
作者簡介
Kenji Nakanishi（中西健二，日本），是國際知名學者，在數學和物理學界享有盛譽。本書凝聚了作者多年科研和教學成果，適用於科研工作者、高校教師和研究生。
目錄
1 Introducton
2 The Klein-Gordon equation below the ground state energy
2.1 Basic existencetheory
2.2 Stationary solutions, ground state
2.3 The Payne-Sattinger criterion, regions
2.5 Strichartz estimates for Klein-Gordon equations
2.6 Summary andconclusion
3 Above the ground state energy I: Near Q
3.1 Energylandscape
3.2 Center, stable, and unstable manifolds in hyperbolic dynamics
3.3 Center-stable manifolds via the Lyapunov-Perron method
3.4 Dispersive estimates for the perturbedlinear evolution
3.5 The center-stable manifold for the radial cubic NLS in R3
3.6 Summary andconclusion
4 Above the ground state energy II: Moving away from Q
4.1 Nonlinear distance function, eigenmode dominance, ejection
4.2 J and Ko, K2 above the ground state energy
4.3 Theone-pass theorem
4.4 Summary and conclusion
5 Above the ground state energy III: Global NLKG dynamics
5.1 Statement ofthe main results on globaldynamics
5.2 The blowup/scattering dichotomy in the ejection case
5.3 Proofs ofthe main results
5.4 Summaryandconclusion
6 Further developments ofthe theory
6.1 The nonradial cubic NLKG equation in IR3
6.2 The one-dimensionalNLKG equation
6.3 The cubic radialNLS equationir1R3
6.4 The energy criticalwaveequation
Index
