Zobrazeno 1 - 10
of 11
pro vyhledávání: '"Noema Nicolussi"'
Autor:
Aleksey Kostenko, Noema Nicolussi
The main focus in this memoir is on Laplacians on both weighted graphs and weighted metric graphs. Let us emphasize that we consider infinite locally finite graphs and do not make any further geometric assumptions. Whereas the existing literature usu
Autor:
Noema Nicolussi, Aleksey Kostenko
Publikováno v:
Memoirs of the European Mathematical Society ISBN: 9783985470259
Noema Nicolussi
Noema Nicolussi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68410cd033330db3b475f0d1086be2c6
https://doi.org/10.4171/mems/3
https://doi.org/10.4171/mems/3
Publikováno v:
Journal of Differential Equations. 268:3016-3034
This article is concerned with the isospectral problem \[ -f'' + \frac{1}{4} f = z\omega f + z^2 \upsilon f \] for the periodic conservative Camassa-Holm flow, where $\omega$ is a periodic real distribution in $H^{-1}_{\mathrm{loc}}(\mathbb{R})$ and
Publikováno v:
Advances in Mathematics. 395:108158
The Glazman-Povzner-Wienholtz theorem states that the completeness of a manifold, when combined with the semiboundedness of the Schr\"odinger operator $-\Delta + q$ and suitable local regularity assumptions on $q$, guarantees its essential self-adjoi
Autor:
Noema Nicolussi
Publikováno v:
Discrete and Continuous Models in the Theory of Networks ISBN: 9783030440961
We investigate isoperimetric constants of infinite tessellating metric graphs. We introduce a curvature-like quantity, which plays the role of a metric graph analogue of discrete curvature notions for combinatorial tessellating graphs. Based on the d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::552fb10172583a77e4457aa5e7d8b125
https://doi.org/10.1007/978-3-030-44097-8_14
https://doi.org/10.1007/978-3-030-44097-8_14
Autor:
Noema Nicolussi, Fatihcan Atay
Publikováno v:
Operator Theory: Advances and Applications ISBN: 9783030440961
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d7b2ac1f276bdec84b2dc6fcd5819b3e
https://doi.org/10.1007/978-3-030-44097-8
https://doi.org/10.1007/978-3-030-44097-8
Autor:
Noema Nicolussi, Aleksey Kostenko
Publikováno v:
Journal of Functional Analysis. 281:109216
We show that the deficiency indices of the minimal Gaffney Laplacian on an infinite locally finite metric graph are equal to the number of finite volume graph ends. Moreover, we provide criteria, formulated in terms of finite volume graph ends, for t
We investigate the relationship between one of the classical notions of boundaries for infinite graphs, \emph{graph ends}, and self-adjoint extensions of the minimal Kirchhoff Laplacian on a metric graph. We introduce the notion of \emph{finite volum
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a3e47c90a43b7bdaa10dd3555050b75
Autor:
Noema Nicolussi, Aleksey Kostenko
We investigate spectral properties of Kirchhoff Laplacians on radially symmetric antitrees. This class of metric graphs enjoys a rich group of symmetries, which enables us to obtain a decomposition of the corresponding Laplacian into the orthogonal s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::db061104fc7e1a4000683fa710ed2b23
Autor:
Noema Nicolussi, Aleksey Kostenko
We investigate the instability index of the spectral problem $$ -c^2y'' + b^2y + V(x)y = -\mathrm{i} z y' $$ on the line $\mathbb{R}$, where $V\in L^1_{\rm loc}(\mathbb{R})$ is real valued and $b,c>0$ are constants. This problem arises in the study o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::488bb47191807a796d728e36e71d95e1
http://arxiv.org/abs/1712.01702
http://arxiv.org/abs/1712.01702