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arXiv · 2407.18686

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

Yutong Wu
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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-Rapha\"el on two-soliton solutions.

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Yutong Wu. 2024-07-26. Existence of multisoliton solutions of the gravitational Hartree equation in three dimensions. https://doi.org/10.1090/tran/9654

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