High frequency approximation of solutions to critical nonlinear wave equations

被引：321

作者：

Bahouri, H ^{[1
]}

Gérard, P

机构：

[1] Univ Tunis, Dept Math, Tunis 1060, Tunisia

[2] Univ Paris 11, Dept Math, F-91405 Orsay, France

来源：

AMERICAN JOURNAL OF MATHEMATICS | 1999年 / 121卷 / 01期

关键词：

D O I：

10.1353/ajm.1999.0001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work is devoted to the description of bounded energy sequences of solutions to the equation (1) square u + \u\(4) = 0 in R x R-3, up to remainder terms small in energy norm and in every Strichartz norm. The proof relies on scattering theory for (1) and on a structure theorem for bounded energy sequences of solutions to the linear wave equation. In particular, we infer the existence of an a priori estimate of Strichartz norms of solutions to (1) in terms of their energy.

引用

页码：131 / 175

页数：45

共 21 条

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