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

页码：3203 / 3227

页数：25

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