Existence of multisoliton solutions of the gravitational Hartree equation in three dimensions

Transactions of the American Mathematical Society 2026 Open access

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Authors: Yutong Wu
DOI: 10.1090/tran/9654
Cited by: 0
References: 21

Abstract

We prove the existence of multisoliton solutions of the three-dimensional gravitational Hartree equation whose trajectories follow many body dynamics of hyperbolic, parabolic or hyperbolic-parabolic types. This work generalizes and improves the result of Krieger-Martel-Raphaël [Comm. Pure Appl. Math. 62 (2009), pp. 1501–1550] on two-soliton solutions.

Fields of Study & Subjects

Advanced Mathematical Physics Problems advanced mathematical theories Spectral Theory in Mathematical Physics

Publication details

Journal / source
Transactions of the American Mathematical Society
Volume
379
Issue
4
Pages
2405–2440
Publication date
23 January 2026
Language
EN