Scattering theory for the Schrodinger-Debye system

被引：0
|
作者：
Correia, Simao [1 ,2 ]
Oliveira, Filipe [3 ,4 ]
机构：
[1] Univ Lisbon, CMAF CIO, Campo Grande,Edifi Cio C6,Piso 2, P-1749016 Lisbon, Portugal
[2] Univ Lisbon, FCUL, Campo Grande,Edifi Cio C6,Piso 2, P-1749016 Lisbon, Portugal
[3] Univ Lisbon, Math Dept, ISEG, Rua Quelhas 6, P-1200781 Lisbon, Portugal
[4] Univ Lisbon, CEMAPRE, ISEG, Rua Quelhas 6, P-1200781 Lisbon, Portugal
来源：
NONLINEARITY | 2018年 / 31卷 / 07期
关键词：
scattering theory; Schrodinger-Debye; global existence; NONLINEAR SCHRODINGER; WELL-POSEDNESS; EQUATIONS; TIME;
D O I：
10.1088/1361-6544/aaba33
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the Schrodin er-Debye system over R-d {iu(t) + 1/2 Delta u = uv, (mu v)t + v = lambda vertical bar u vertical bar(2) and establish the global existence and scattering of small solutions for initial data in several function spaces in dimensions d = 2,3,4. Moreover, in dimension d = 1, we prove a Hayashi-Naumkin modified scattering result.
引用
收藏
页码：3203 / 3227
页数：25
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