THE FOCUSING ENERGY-CRITICAL FOURTH-ORDER SCHRODINGER EQUATION WITH RADIAL DATA

被引：51
|
作者：
Pausader, Benoit [1 ]
机构：
[1] Univ Cergy Pontoise, Dept Math, CNRS, UMR 8088, F-95302 Cergy Pontoise, France
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2009年 / 24卷 / 04期
关键词：
Fourth-order Schrodinger equation; nonlinear dispersive equation; focusing equation; nonlinear scattering; GLOBAL WELL-POSEDNESS; CRITICAL EXPONENTS; CAUCHY-PROBLEM; COMPACTNESS; SCATTERING;
D O I：
10.3934/dcds.2009.24.1275
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the focusing energy-critical fourth-order Schrodinger equation in the radial setting. We prove global existence and scattering for solutions of energy and. H(over dot)(2)-norm below that of the ground state.
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页码：1275 / 1292
页数：18
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