On damped non-linear Choquard equations

被引：0
|
作者：
Feng B. [1 ,2 ,3 ]
Saanouni T. [1 ,2 ,3 ]
机构：
[1] Department of Mathematics, Northwest Normal University, Lanzhou
[2] Department of Mathematics, College of Science and Arts in Uglat Asugour, Qassim University, Buraydah
[3] LR03ES04 Partial Differential Equations and Applications, Faculty of Sciences of Tunis, University of Tunis El Manar, Tunis
来源：
Boletín de la Sociedad Matemática Mexicana | 2021年 / 27卷 / 2期
关键词：
Blow-up; Choquard equation; Damping; Global existence;
D O I：
10.1007/s40590-021-00359-7
中图分类号：
学科分类号：
摘要：
This paper studies the damped Schrödinger equation iu˙+Δu+(Iα∗|u|p)|u|p-2u+ia(t)u+ib|u|2(q-1)u+icu|u|β+id(-Δ)su=0.Indeed, in the energy sub-critical regime, global well-posedness and scattering versus finite time blow-up of solutions are discussed under some suitable conditions on the damping and the source term. © 2021, Sociedad Matemática Mexicana.
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