A parametrix construction for wave equations with C1,1 coefficients

被引：135

作者：

Smith, HF ^{[1
]}

机构：

[1] Univ Washington, Dept Math, Seattle, WA 98195 USA

来源：

ANNALES DE L INSTITUT FOURIER | 1998年 / 48卷 / 03期

关键词：

wave equation; Strichartz estimates; paradifferential operators;

D O I：

10.5802/aif.1640

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we give a construction of the wave group for variable coefficient, time dependent wave equations, under the hypothesis that the coefficients of the principal term possess two bounded derivatives in the spatial variables, and one bounded derivative in the time variable. We use this construction to establish the Strichartz and Pecher estimates for solutions to the Cauchy problem for such equations, in space dimensions n = 2 and n = 3.

引用

页码：797 / +

页数：40

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[2]

Coifman R., 1978, ASTERISQUE SOC MATH, V57

[3]

Cordoba A., 1978, Comm. Part. Differ. Equ, V3, P979, DOI [10.1080/03605307808820083, DOI 10.1080/03605307808820083]

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