On the Decay in the Energy Space of Solutions to the Damped Magnetic Radial Schrödinger Equation with Non-Local Nonlinearities

被引：0
|
作者：
Saker, Taim [1 ]
Tarulli, Mirko [1 ,2 ]
Venkov, George [3 ]
机构：
[1] Bulgarian Acad Sci, Inst Math & Informat, Acad Georgi Bonchev Str,Block 8, Sofia 1113, Bulgaria
[2] Amer Univ Bulgaria, Math & Sci Dept, 1 Georgi Izmirliev Sq, Blagoevgrad 2700, Bulgaria
[3] Tech Univ Sofia, Fac Appl Math & Informat, Dept Math Anal & Differential Equat, Sofia 1756, Bulgaria
来源：
MATHEMATICS | 2024年 / 12卷 / 19期
关键词：
nonlinear Schr & ouml; dinger equations; Schr & ouml; dinger operators; scattering theory; non-local nonlinearity; damping; HARTREE-EQUATIONS; WELL-POSEDNESS; SCHRODINGER; SCATTERING;
D O I：
10.3390/math12192975
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We will explore, in any space dimension d >= 4, the decay in the energy space for the damped magnetic Schr & ouml;dinger equation with non-local nonlinearity and radial initial data in H1(Rd). We will also display new Morawetz identities and corresponding localized Morawetz estimates.
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页数：13
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