Strichartz estimates for operators with nonsmooth coefficients and the nonlinear wave equation

被引：0

作者：

Tataru, D ^{[1
]}

机构：

[1] Northwestern Univ, Dept Math, Evanston, IL 60208 USA

来源：

AMERICAN JOURNAL OF MATHEMATICS | 2000年 / 122卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this article is threefold. First, we use the FBI transform to set up a calculus for partial differential operators with nonsmooth coefficients. Next, this calculus allows us to prove Strichartz type estimates for the wave equation with nonsmooth coefficients. Finally, we use these Strichartz estimates to improve the local theory for second order nonlinear hyperbolic equations.

引用

页码：349 / 376

页数：28

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