ON THE MAGNETIC RADIAL
SCHRÖDINGER-HARTREE EQUATION
Elena Nikolova1, Mirko Tarulli2, George Venkov3
1 Department of Information Engineering, Computer
Science and Mathematics, University of L'Aquila
Via Vetoio, L'Aquila - 67100, ITALY
2 Department of Mathematical Analysis and
Differential Equations, Technical University of Sofia
Kliment Ohridski Blvd. 8, Sofia - 1000, BULGARIA
& Institute of Mathematics and Informatics
Bulgarian Academy of Sciences
Acad. G. Bonchev Str., Block 8, Sofia - 1113, BULGARIA
& Department of Mathematics, University of Pisa
Largo Bruno Pontecorvo 5, Pisa - 56100, ITALY
3 Department of Mathematical Analysis and
Differential Equations, Technical University of Sofia
Kliment Ohridski Blvd. 8, Sofia - 1000, BULGARIA

Abstract

We prove, in any space dimension $d\geq4$, the decay in the energy space for the defocusing magnetic Schrödinger-Hartree equation with radial initial data in $H^{1}(\R^{d})$. We will exhibit also new Morawetz inequalities and localized correlation estimates.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 35
Issue: 5
Year: 2022

DOI: 10.12732/ijam.v35i5.11

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