Linear non-degeneracy of the 1d blow-up limit in the phase segregation of Bose-Einstein condensates

Christos Sourdis

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arXiv · 1802.04754

Linear non-degeneracy of the 1d blow-up limit in the phase segregation of Bose-Einstein condensates

Christos Sourdis

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Abstract

We show that the kernel of the linearization of the blow-up problem at the regular part of the interface that separates segregated BECs is one-dimensional, generated by translations in the normal direction to the interface. This useful non-degeneracy property was previously known only in one and two dimensions.

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Christos Sourdis. 2018-02-13. Linear non-degeneracy of the 1d blow-up limit in the phase segregation of Bose-Einstein condensates. https://arxiv.org/abs/1802.04754

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