Singularity of eigenfunctions at the junction of shrinking tubes, Part II
Analysis of PDEs
2013-02-13 v1
Abstract
In continuation with the paper arXiv:1202.4414, we investigate the asymptotic behavior of weighted eigenfunctions in two half-spaces connected by a thin tube. We provide several improvements about some convergences stated in arXiv:1202.4414; most of all, we provide the exact asymptotic behavior of the implicit normalization for solutions given in arXiv:1202.4414 and thus describe the (N-1)-order singularity developed at a junction of the tube (where N is the space dimension).
Keywords
Cite
@article{arxiv.1302.2865,
title = {Singularity of eigenfunctions at the junction of shrinking tubes, Part II},
author = {Laura Abatangelo and Veronica Felli and Susanna Terracini},
journal= {arXiv preprint arXiv:1302.2865},
year = {2013}
}
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24 pages