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.

引用

页数：13

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