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Invariant manifolds and dispersive Hamiltonian evolution equations
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Invariant manifolds and dispersive Hamiltonian evolution equations

Auteur: Kenji Nakanishi; Wilhelm Schlag
Uitgever: Zürich : European Mathematical Society, 2011.
Serie: Zurich lectures in advanced mathematics.
Editie/Formaat:   Boek : EngelsAlle edities en materiaalsoorten bekijken.
Samenvatting:
"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  Meer lezen...
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Details

Soort document: Boek
Alle auteurs / medewerkers: Kenji Nakanishi; Wilhelm Schlag
ISBN: 9783037190951 3037190957
OCLC-nummer: 768349738
Beschrijving: 253 p. : ill. ; 24 cm.
Inhoud: 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.
Serietitel: Zurich lectures in advanced mathematics.
Verantwoordelijkheid: Kenji Nakanishi, Wilhelm Schlag.

Fragment:

"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.

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