In continuation with [17], 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 [17]; most of all, we provide the exact asymptotic behavior of the implicit normalization for solutions given in [17] and thus describe the (N - 1)-order singularity developed at a junction of the tube (where N is the space dimension). © 2014 Elsevier Inc.
Singularity of eigenfunctions at the junction of shrinking tubes, Part II
TERRACINI, Susanna
2014-01-01
Abstract
In continuation with [17], 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 [17]; most of all, we provide the exact asymptotic behavior of the implicit normalization for solutions given in [17] and thus describe the (N - 1)-order singularity developed at a junction of the tube (where N is the space dimension). © 2014 Elsevier Inc.
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