2011年
SCATTERING THRESHOLD FOR THE FOCUSING NONLINEAR KLEIN-GORDON EQUATION
ANALYSIS & PDE
- ,
- ,
- 巻
- 4
- 号
- 3
- 開始ページ
- 405
- 終了ページ
- 460
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.2140/apde.2011.4.405
- 出版者・発行元
- MATHEMATICAL SCIENCE PUBL
We show scattering versus blow-up dichotomy below the ground state energy for the focusing nonlinear Klein-Gordon equation, in the spirit of Kenig and Merle for the H-1 critical wave and Schrodinger equations. Our result includes the H-1 critical case, where the threshold is given by the ground state for the massless equation, and the 2D square-exponential case, where the mass for the ground state may be modified, depending on the constant in the sharp Trudinger-Moser inequality. The main difficulty is the lack of scaling invariance in both the linear and the nonlinear terms.
- リンク情報
- ID情報
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- DOI : 10.2140/apde.2011.4.405
- ISSN : 1948-206X
- arXiv ID : arXiv:1001.1474
- Web of Science ID : WOS:000299676100003