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

Taim Saker, Mirko Tarulli and George Venkov ()
Additional contact information
Taim Saker: Institute of Mathematics and Informatics, Bulgarian Academy of Science, Acad. Georgi Bonchev Str., Block 8, 1113 Sofia, Bulgaria
Mirko Tarulli: Institute of Mathematics and Informatics, Bulgarian Academy of Science, Acad. Georgi Bonchev Str., Block 8, 1113 Sofia, Bulgaria
George Venkov: Department of Mathematical Analysis and Differential Equations, Faculty of Applied Mathematics and Informatics, Technical University of Sofia, 1756 Sofia, Bulgaria

Mathematics, 2024, vol. 12, issue 19, 1-13

Abstract: We will explore, in any space dimension d ≥ 4 , the decay in the energy space for the damped magnetic Schrödinger equation with non-local nonlinearity and radial initial data in H 1 ( R d ) . We will also display new Morawetz identities and corresponding localized Morawetz estimates.

Keywords: nonlinear Schrödinger equations; Schrödinger operators; scattering theory; non-local nonlinearity; damping (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/19/2975/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/19/2975/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:19:p:2975-:d:1485363

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().