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arXiv · 2509.06001

The Gross-Pitaewskii equation with time and space dependent coefficients

Federico Lai
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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.

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Federico Lai. 2025-09-07. The Gross-Pitaewskii equation with time and space dependent coefficients. https://arxiv.org/abs/2509.06001

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