Invariant manifolds and dispersive Hamiltonian evolution equations
 Responsibility
 Kenji Nakanishi, Wilhelm Schlag.
 Imprint
 Zürich : European Mathematical Society, 2011.
 Physical description
 253 p. : ill. ; 24 cm.
 Series
 Zurich lectures in advanced mathematics.
Access
Available online
Science Library (Li and Ma)
Stacks
Call number  Status 

QA613 .N356 2011  Unknown 
More options
Creators/Contributors
 Author/Creator
 Nakanishi, Kenji, 1973
 Contributor
 Schlag, Wilhelm.
Contents/Summary
 Bibliography
 Includes bibliographical references (p. [241]245) and index.
 Contents

 1. Introduction
 2. The KleinGordon 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.
 Summary
 "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 concentrationcompactness argument leading to scattering due to Kenig and Merle."P.[4] of cover.
Bibliographic information
 Publication date
 2011
 Series
 Zurich lectures in advanced mathematics
 ISBN
 9783037190951
 3037190957