English

On a linear equation arising in the study of phase separation of Bose-Einstein condensates

Analysis of PDEs 2025-06-30 v2

Abstract

We consider the inner limit system describing the phase separation in two-component Bose-Einstein condensates linearized around the one-dimensional solution in an infinite strip with zero and periodic boundary conditions, and obtain optimal invertibility estimates for the Fourier modes without necessarily assuming orthogonality conditions.

Keywords

Cite

@article{arxiv.2506.05299,
  title  = {On a linear equation arising in the study of phase separation of Bose-Einstein condensates},
  author = {Christos Sourdis},
  journal= {arXiv preprint arXiv:2506.05299},
  year   = {2025}
}

Comments

minor changes from volume 1