Invariant manifolds and dispersive Hamiltonian evolution equations / Kenji Nakanishi; Wilhelm Schlag.
"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 gra...
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| Main Author: | |
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| Other Authors: | |
| Language: | English |
| Published: |
Zürich :
European Mathematical Society,
2011.
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| Series: | Zurich lectures in advanced mathematics.
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| Subjects: | |
| Physical Description: | 253 pages : illustrations ; 24 cm. |
| Format: | Book |
MARC
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| 100 | 1 | |a Nakanishi, Kenji, |d 1973- |0 http://id.loc.gov/authorities/names/no2012039198 | |
| 245 | 1 | 0 | |a Invariant manifolds and dispersive Hamiltonian evolution equations / |c Kenji Nakanishi; Wilhelm Schlag. |
| 260 | |a Zürich : |b European Mathematical Society, |c 2011. | ||
| 300 | |a 253 pages : |b illustrations ; |c 24 cm. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a unmediated |b n |2 rdamedia | ||
| 338 | |a volume |b nc |2 rdacarrier | ||
| 490 | 1 | |a Zurich lectures in advanced mathematics | |
| 504 | |a Includes bibliographical references and index. | ||
| 520 | |a "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. | ||
| 650 | 0 | |a Invariant manifolds. |0 http://id.loc.gov/authorities/subjects/sh2003001076 | |
| 650 | 0 | |a Hamiltonian systems. |0 http://id.loc.gov/authorities/subjects/sh85058563 | |
| 650 | 0 | |a Hyperbolic spaces. |0 http://id.loc.gov/authorities/subjects/sh86006874 | |
| 650 | 0 | |a Klein-Gordon equation. |0 http://id.loc.gov/authorities/subjects/sh89006586 | |
| 700 | 1 | |a Schlag, Wilhelm, |d 1969- |0 http://id.loc.gov/authorities/names/no2012089666 | |
| 830 | 0 | |a Zurich lectures in advanced mathematics. |0 http://id.loc.gov/authorities/names/no2004098541 | |
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