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保存至书单:
Invariant manifolds and dispersive Hamiltonian evolution equations / |
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ISBN/ISSN:
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9783037190951 (pbk.) |
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ISBN/ISSN:
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3037190957 (pbk.) |
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中图分类法
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O175.2 |
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著者:
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Nakanishi, Kenji, |
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题名:
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Invariant manifolds and dispersive Hamiltonian evolution equations / |
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出版发行:
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Zurich : European Mathematical Society, 2011. |
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载体形态:
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253 p. : ill. ; 24 cm. |
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内容提要:
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"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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主题词:
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Invariant manifolds. |
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主题词:
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Hamiltonian systems. |
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主题词:
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Hyperbolic spaces. |
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主题词:
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Klein-Gordon equation. |
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主题词:
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Evolution equations. |
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主要责任者:
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Schlag, Wilhelm. |
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HEA| |02391nam a2200361 a 4500 001| |022013001353 003| |CAL 005| |20130913091223.1 008| |130913s2011 sz a b 001 0 eng d 020| |▼a9783037190951 (pbk.) 020| |▼a3037190957 (pbk.) 040| |▼aMYG▼cMYG▼dBTCTA▼dMYG▼dYDXCP▼- | |dBWX▼dOHX▼dCGU▼dMUU▼dMIA▼dOUN 093| |▼aO175.2▼25 099| |▼aCAL 022013008119 100|1 |▼aNakanishi, Kenji,▼d1973- 245|10|▼aInvariant manifolds and disp- | |ersive Hamiltonian evolution e- | |quations /▼cKenji Nakanishi, W- | |ilhelm Schlag. 260| |▼aZurich :▼bEuropean Mathemati- | |cal Society,▼c2011. 300| |▼a253 p. :▼bill. ;▼c24 cm. 490|1 |▼aZurich lectures in advanced - | |mathematics 504| |▼aIncludes bibliographical ref- | |erences (p. [241]-249) and index. 505|0 |▼a1. Introduction －－ 2. The Kl- | |ein-Gordon equation below the - | |ground state energy －－ 3. Abov- | |e the ground state energy I: n- | |ear Q －－ 4. Above the ground s- | |tate energy II: Moving away fr- | |om Q －－ 5. Above the ground st- | |ate energy III: global NLKG dy- | |namics －－ 6. Further developme- | |nts of the theory. 520| |▼a"The notion of an invariant - | |manifold arises naturally in t- | |he asymptotic stability analys- | |is of stationary or standing w- | |ave solutions of unstable disp- | |ersive Hamiltonian evolution e- | |quations such as the focusing - | |semilinear Klein Gordon and Sc- | |hrodinger equations. [...] The- | |se lectures are suitable for g- | |raduate students and researche- | |rs in partial differential equ- | |ations and mathematical physic- | |s. For the cubic Klein Gordon - | |equation in three dimensions a- | |ll details are provided, inclu- | |ding the derivation of Stricha- | |rtz estimates for the free equ- | |ation and the concentration-co- | |mpactness argument leading to - | |scattering due to Kenig and Me- | |rle."－－P.[4] of cover. 650| 0|▼aInvariant manifolds. 650| 0|▼aHamiltonian systems. 650| 0|▼aHyperbolic spaces. 650| 0|▼aKlein-Gordon equation. 650| 0|▼aEvolution equations. 700|1 |▼aSchlag, Wilhelm. 830| 0|▼aZurich lectures in advanced - | |mathematics. 856|4 |▼b\\201304101\\201303001FEI\\0220- | |13008119\\F001.jpg▼uhttp://ftp－－ | |ab.calis.edu.cn:3000/view.asp?- | |oid=\\201304101\\201303001FEI\\02- | |2013008119&type=1▼2封面 856|4 |▼b\\201304101\\201303001FEI\\0220- | |13008119\\M001.jpg▼uhttp://ftp－－ | |ab.calis.edu.cn:3000/view.asp?- | |oid=\\201304101\\201303001FEI\\02- | |2013008119&type=3▼2目次 921| |▼aCALIS_CEIPC_XWB▼bCEIPC▼c9783037190951 998| |▼aZJU
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