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arXiv · 1302.2865

Singularity of eigenfunctions at the junction of shrinking tubes, Part II

Laura Abatangelo·Veronica Felli·Susanna Terracini
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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).

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Laura Abatangelo, Veronica Felli, Susanna Terracini. 2013-02-12. Singularity of eigenfunctions at the junction of shrinking tubes, Part II. https://arxiv.org/abs/1302.2865

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