In continuation with Part I, 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 Part I; most of all, we provide the exact asymptotic behavior of the implicit normalization for solutions given in Part I and thus describe the (N−1) -order singularity developed at a junction of the tube (where N is the space dimension)
Abatangelo, L., Felli, V., & Terracini, S. (2014). Singularity of eigenfunctions at the junction of shrinking tubes, Part II. JOURNAL OF DIFFERENTIAL EQUATIONS, 256(10), 3301-3334.
Citazione: | Abatangelo, L., Felli, V., & Terracini, S. (2014). Singularity of eigenfunctions at the junction of shrinking tubes, Part II. JOURNAL OF DIFFERENTIAL EQUATIONS, 256(10), 3301-3334. |
Tipo: | Articolo in rivista - Articolo scientifico |
Carattere della pubblicazione: | Scientifica |
Presenza di un coautore afferente ad Istituzioni straniere: | No |
Titolo: | Singularity of eigenfunctions at the junction of shrinking tubes, Part II |
Autori: | Abatangelo, L; Felli, V; Terracini, S |
Autori: | |
Data di pubblicazione: | 2014 |
Lingua: | English |
Rivista: | JOURNAL OF DIFFERENTIAL EQUATIONS |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.jde.2014.02.010 |
Appare nelle tipologie: | 01 - Articolo su rivista |
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File | Descrizione | Tipologia | Licenza | |
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revised_aft.pdf | Postprint | Open Access Visualizza/Apri |