The well-posedness and convergence of higher-order Hartree equations in critical Sobolev spaces on $ \mathbb{T}^3 $
Sign Up to like & getrecommendations! Published in 2025 at "Discrete and Continuous Dynamical Systems"
DOI: 10.3934/dcds.2025145
Abstract: In this article, we consider Hartree equations generalised to $2p+1$ order nonlinearities. These equations arise in the study of the mean-field limits of Bose gases with $p$-body interactions. We study their well-posedness properties in $H^{s_c}(\mathbb{T}^3)$,… read more here.
Keywords: higher order; hartree equations; well posedness; order hartree ... See more keywords