Zobrazeno 1 - 10
of 75
pro vyhledávání: '"Konstantin Pankrashkin"'
Publikováno v:
Electronic Journal of Differential Equations, Vol 2013, Iss 101,, Pp 1-16 (2013)
We develop the machinery of boundary triplets for one-dimensional operators generated by formally self-adjoint quasi-differential expression of arbitrary order on a finite interval. The technique is then used to describe all maximal dissipative, accu
Externí odkaz:
https://doaj.org/article/2ef8f1ff80844eea8259cef93170d4a9
Publikováno v:
Journal of Spectral Theory. 10:1413-1444
In this paper we study an interacting two-particle system on the positive half-line. We focus on spectral properties of the Hamiltonian for a large class of two-particle potentials. We characterize the essential spectrum and prove, as a main result,
Publikováno v:
Oberwolfach Reports. 16:2911-2950
Autor:
Konstantin Pankrashkin, Marco Vogel
The spectral properties of two-dimensional Schr\"odinger operators with $\delta'$-potentials supported on star graphs are discussed. We describe the essential spectrum and give a complete description of situations in which the discrete spectrum is no
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d6f5c68fe96bd4c991906e452c56ecd
Publikováno v:
Letters in Mathematical Physics. 110:945-968
In this paper, we study spectral properties of a three-dimensional Schrodinger operator $$-\Delta +V$$ with a potential V given, modulo rapidly decaying terms, by a function of the distance to an infinite conical surface with a smooth cross section.
Autor:
Konstantin Pankrashkin, Hynek Kovařík
Publikováno v:
Journal of Differential Equations. 267:1600-1630
Let Ω ⊂ R N , N ≥ 2 , be a bounded domain with an outward power-like peak which is assumed not too sharp in a suitable sense. We consider the Laplacian u ↦ − Δ u in Ω with the Robin boundary condition ∂ n u = α u on ∂Ω with ∂ n bei
Autor:
Konstantin Pankrashkin
Let $\Omega\subset \mathbb{R}^n$ be a bounded $C^1$ domain and $p>1$. For $\alpha>0$, define the quantity \[ \Lambda(\alpha)=\inf_{u\in W^{1,p}(\Omega),\, u\not\equiv 0} \Big(\int_\Omega |\nabla u|^p\,\mathrm{d}x - \alpha \int_{\partial\Omega} |u|^p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a77e3c0ba335856c7f1753deba2583c2
We develop a Hilbert-space approach to the diffusion process of the Brownian motion in a bounded domain with random jumps from the boundary introduced by Ben-Ari and Pinsky in 2007. The generator of the process is introduced by a diffusion elliptic d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cff94163d09b01979d186b1e48113d63
Autor:
Konstantin Pankrashkin, Magda Khalile
Publikováno v:
Mathematische Nachrichten. 291:928-965
For $\alpha\in(0,\pi)$, let $U_\alpha$ denote the infinite planar sector of opening $2\alpha$, \[ U_\alpha=\big\{ (x_1,x_2)\in\mathbb R^2: \big|\arg(x_1+ix_2) \big|0$. The essential spectrum of $T^\gamma_\alpha$ does not depend on the angle $\alpha$
Publikováno v:
Applicable Analysis. 97:1628-1649
We study the spectrum of two kinds of operators involving a conical geometry: the Dirichlet Laplacian in conical layers and Schr\"odinger operators with attractive $\delta$-interactions supported by infinite cones. Under the assumption that the cones