Title of article
The limit equation for the Gross–Pitaevskii equations and S. Terracini’s conjecture
Author/Authors
E.N. Dancer، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2012
Pages
45
From page
1087
To page
1131
Abstract
We establish the limit system for the Gross–Pitaevskii equations when the segregation phenomenon appears,
and shows this limit is the one arising from the competing systems in population dynamics. This
covers and verifies a conjecture of S. Terracini et al., both in the parabolic case and the elliptic case.
© 2011 Elsevier Inc. All rights reserved.
Keywords
free boundary problem , Partial regularity , Gross–Pitaevskii equation , Singular perturbation , Monotonicityformula
Journal title
Journal of Functional Analysis
Serial Year
2012
Journal title
Journal of Functional Analysis
Record number
840637
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