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

Existence of multisoliton solutions of the gravitational Hartree equation in three dimensions
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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 on two-soliton solutions.


💡 Research Summary

The paper investigates the three‑dimensional gravitational Hartree equation

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