A Note on a Damped Focusing Inhomogeneous Choquard Equation

被引：0

作者：

Chergui, Lassaad ^{[1
,2
]}

机构：

[1] Qassim Univ, Coll Sci & Arts Uglat Asugour, Dept Math, Buraydah, Saudi Arabia

[2] Univ Campus, Preparatory Inst Engn Studies Elmanar, BP 244,Elmanar 2, Tunis 2092, Tunisia

来源：

JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY | 2021年 / 17卷 / 03期

关键词：

damped Choquard equation; large damping; global existence; scattering; invariant sets; CAUCHY-PROBLEM; GLOBAL-SOLUTIONS; DISSIPATION; EXISTENCE; SOLITON;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the focusing inhomogeneous Choquard equation with linear damping: i(u)over dot + Delta u + iau = -vertical bar x vertical bar(-gamma)(I-alpha*vertical bar u vertical bar p)vertical bar u vertical bar(p-2)u on R-N, where a >= 0 and 0 < gamma < inf(N, 2 + alpha). Global existence and scattering are proved for sufficiently large damping. For arbitrary damping, global existence of solutions is obtained if the initial data belong to some invariant sets.

引用

页码：295 / 325

页数：31

共 27 条

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