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

被引：53

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.

引用

页码：1275 / 1292

页数：18

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