ON SCATTERING BY TIME-DEPENDENT POTENTIALS - THE 2-D CASE

被引：0
|
作者：
FERREIRA, JA
MENZALA, GP
机构：
[1] CTR NATL PESQUISA,BR-22290 RIO DE JANEIRO,BRAZIL
[2] UNIV FED RIO DE JANEIRO,IM,BR-21910 RIO DE JANEIRO,BRAZIL
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1990年 / 148卷 / 01期
关键词：
D O I：
10.1016/0022-247X(90)90033-C
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a real potential q(x, t) which has compact support in space x ∈ R2 and it is "damped." We study the solutions of utt - Δu + q(x, t) u = 0 showing that under additional technical assumptions on q the scattering operator exists. Our proofs are elementary. © 1990.
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页码：131 / 146
页数：16
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