Konstantin Pankrashkin

activity

20022026

most citedSpectra of self-adjoint extensions and applications to solvable Schroedinger operators

195 citations · 1.2k across the 66 of their papers we have counts for

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Showing 2020Show all

2 papers · 1 filter

math.SP2020

Spectral analysis of the multi-dimensional diffusion operator with random jumps from the boundary

David Krejcirik, Vladimir Lotoreichik, Konstantin Pankrashkin +1

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…

math.AP2020★ 3 cited

An eigenvalue estimate for a Robin $p$ -Laplacian in $C^{1}$ domains

Konstantin Pankrashkin

Let $Ω \subset R^{n}$ be a bounded $C^{1}$ domain and $p > 1$ . For $α > 0$ , define the quantity \[ Λ(α)=\inf_{u\in W^{1,p}(Ω),\, u\not\equiv 0} \Big(\int_Ω|\nabla u|^p\,\mathrm{d}x…

Spectral analysis of the multi-dimensional diffusion operator with random jumps from the boundary

An eigenvalue estimate for a Robin p-Laplacian in C1 domains

An eigenvalue estimate for a Robin $p$ -Laplacian in $C^{1}$ domains