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题名/责任者:

Invariant manifolds and dispersive Hamiltonian evolution equations = 不变流形和色散型哈密顿发展方程 / Kenji Nakanishi, Wilhelm Schlag.

出版发行项:

北京 : 世界图书出版公司, 2015.

ISBN:

9787510094682

载体形态项:

253 p. : ill. ; 24 cm.

变异题名:

不变流形和色散型哈密顿发展方程

丛编说明:

Zurich lectures in advanced mathematics

丛编说明:

数学经典 (影印版)

个人责任者:

Nakanishi, Kenji, 1973-

附加个人名称:

Schlag, Wilhelm.

论题主题:

Invariant manifolds.

论题主题:

Hamiltonian systems.

论题主题:

Hyperbolic spaces.

论题主题:

Klein-Gordon equation.

论题主题:

Evolution equations.

中图法分类号:

O189.3

一般附注:

Cover title.

书目附注:

Includes bibliographical references (p. [241]-249) and index.

内容附注:

1. Introduction -- 2. The Klein-Gordon equation below the ground state energy -- 3. Above the ground state energy I: near Q -- 4. Above the ground state energy II: Moving away from Q -- 5. Above the ground state energy III: global NLKG dynamics -- 6. Further developments of the theory.

摘要附注:

"The notion of an invariant manifold arises naturally in the asymptotic stability analysis of stationary or standing wave solutions of unstable dispersive Hamiltonian evolution equations such as the focusing semilinear Klein Gordon and Schrodinger equations. [...] These lectures are suitable for graduate students and researchers in partial differential equations and mathematical physics. For the cubic Klein Gordon equation in three dimensions all details are provided, including the derivation of Strichartz estimates for the free equation and the concentration-compactness argument leading to scattering due to Kenig and Merle."--P.[4] of cover.

原版附注:

Reprint. Originally published: Zürich : European Mathematical Society, 2011. 9783037190951.

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