Bilinear space-time estimates for homogeneous wave equations

被引：97

作者：

Foschi, D ^{[1
]}

Klainerman, S ^{[1
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE | 2000年 / 33卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/S0012-9593(00)00109-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we pursue a systematic treatment of the regularity theory for products and bilinear forms of solutions of the homogeneous wave equation. We discuss necessary and sufficient conditions for the validity of bilinear estimates, based on L-2 norms in space and time, of derivatives of products of solutions. Also, we give necessary conditions and formulate some conjectures for similar estimates based on (LtLxr)-L-q, norms. (C) 2000 Editions scientifiques et medicales Elsevier SAS.

引用

页码：211 / 274

页数：64

共 15 条

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Beals M, 1996, COMMUN PART DIFF EQ, V21, P79

[2] GENERALIZED STRICHARTZ INEQUALITIES FOR THE WAVE-EQUATION [J].