On the converse problem for the Gross-Pitaevskii equations with a large parameter

Norman E. Dancer

doi:10.3934/dcds.2014.34.2481

Article Contents

2014, Volume 34, Issue 6: 2481-2493. Doi: 10.3934/dcds.2014.34.2481

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On the converse problem for the Gross-Pitaevskii equations with a large parameter

Norman E. Dancer^1,

1.
University of Sydeny, NSW 2006

Received: December 31, 2012

Revised: March 31, 2013

Published: May 2014

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Abstract

We show how certain solutions of the limit equation continue to solutions of the full equations when a parameter is large.

Keywords:

Singular perturbation,
non-small solutions and small solutions.

Mathematics Subject Classification: 35J65.

Citation:

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References

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