Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Aleksey Kostenko"'
Publikováno v:
Opuscula Mathematica, Vol 36, Iss 6, Pp 769-786 (2016)
We investigate the dependence of the \(L^1\to L^{\infty}\) dispersive estimates for one-dimensional radial Schrödinger operators on boundary conditions at \(0\). In contrast to the case of additive perturbations, we show that the change of a boundar
Externí odkaz:
https://doaj.org/article/43c283448fb94a97a25ae20d8ed767ce
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:
Oberwolfach Reports. 16:2911-2950
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2c8173ee5a8aa0b8e37fb1a3a2df25e3
https://doi.org/10.4171/owr/2019/47
https://doi.org/10.4171/owr/2019/47
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::79966a22806750d688edb86a5638987a
https://doi.org/10.1016/j.jde.2019.09.048
https://doi.org/10.1016/j.jde.2019.09.048
Autor:
Aleksey Kostenko
Publikováno v:
Letters in Mathematical Physics
For the discrete Laguerre operators we compute explicitly the corresponding heat kernels by expressing them with the help of Jacobi polynomials. This enables us to show that the heat semigroup is ultracontractive and to compute the corresponding norm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::90eff8d2ae520220bb64e017de8fb11b
http://europepmc.org/articles/PMC7946700
http://europepmc.org/articles/PMC7946700
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5c4c7fd4260f7bc2d8103d97ab203655
https://doi.org/10.1016/j.aim.2021.108158
https://doi.org/10.1016/j.aim.2021.108158
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::787ea0e0d70fc4fd8ab661870c67863d
https://doi.org/10.1016/j.jfa.2021.109216
https://doi.org/10.1016/j.jfa.2021.109216
Publikováno v:
Doklady Mathematics. 95:31-36
Infinite quantum graphs with δ-interactions at vertices are studied without any assumptions on the lengths of edges of the underlying metric graphs. A connection between spectral properties of a quantum graph and a certain discrete Laplacian given o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::36ea29e02422ff6a43bc803426cb14af
https://doi.org/10.1134/s1064562417010136
https://doi.org/10.1134/s1064562417010136
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