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

页码：237 / 278

页数：42

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