Work

The dynamics of the focusing NLH with a potential beyond the mass–energy threshold

Year: 2025

Type: article

Abstract: In this paper, we study the dynamics of the focusing nonlinear Hartree equation with a Kato potential under some assumptions on the potential . We prove the blow up versus global existence dichotomy for solutions beyond the threshold, based on the method from Duyckaerts–Roudenko in [6]. Our result extends the work of [13], which studied the blow up and scattering theory for solutions of below that threshold.

Source: Mathematische Nachrichten

DOI: 10.1002/mana.70047

Authors: Shuang Ji, Jing Lu, Fanfei Meng

Institution: China Agricultural University

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Award: G8595131370