ON SCATTERING FOR WAVE EQUATIONS WITH TIME DEPENDENT COEFFICIENTS

被引：5

作者：

Mochizuki, Kiyoshi ^{[1
]}

机构：

[1] Chuo Univ, Fac Sci & Engn, Bunkyo Ku, Kasuga, Tokyo 1128551, Japan

来源：

TSUKUBA JOURNAL OF MATHEMATICS | 2007年 / 31卷 / 02期

关键词：

D O I：

10.21099/tkbjm/1496165152

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the wave equations with perturbation of the first order differential operators, the coefficients of which depend on both the space and time variables. Under suitable conditions on the coefficients, we show the existence of the scattering operator. The main tool used is space-time energy estimates of solutions.

引用

页码：327 / 342

页数：16

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