preprint

Inserted: 9 sep 2025
Last Updated: 10 nov 2025

Year: 2025

Abstract:

We study the existence of weak solutions of a generalized Gross-Pitaewskii equation, with time and space dependent coefficients that could blow up or vanish asymptotically in time, with initial data not necessarily segregated. We also study the asymptotic behavior in time of these solutions, including cases in which the segregation phenomenon appears.