Scattering and the Levandosky-Strauss conjecture for fourth-order nonlinear wave equations

被引：40
|
作者：
Pausader, Benoit [1 ]
机构：
[1] Univ Cergy Pontoise, Dept Math, F-95302 Cergy Pontoise, France
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2007年 / 241卷 / 02期
关键词：
fourth-order wave equations; beam equation; scattering;
D O I：
10.1016/j.jde.2007.06.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate scattering theory in the energy space for fourth-order nonlinear defocusing wave equations and prove the Levandosky-Strauss conjecture stating that scattering holds true for such equations and arbitrary initial data. (C) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：237 / 278
页数：42
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