A. Kostenko

activity

20062025

most citedLong-Time Asymptotics for the Camassa-Holm Equation

227 citations · 812 across the 43 of their papers we have counts for

collaborators

Showing 2016 · math.SPShow all

3 papers · 2 filters

math.SP2016★ 2 cited

Dispersion Estimates for Spherical Schrödinger Equations with Critical Angular Momentum

Markus Holzleitner, Aleksey Kostenko, Gerald Teschl

We derive a dispersion estimate for one-dimensional perturbed radial Schrödinger operators where the angular momentum takes the critical value $l = - \frac{1}{2}$ . We also derive seve…

math.SP2016★ 9 cited

Schrödinger Operators with $δ$ -interactions in a Space of Vector-Valued Functions

Aleksey Kostenko, Mark Malamud, Daria Natiagailo

We study spectral properties of Schrödinger operators with $δ$ -interactions on a semi-axis by using the theory of boundary triplets and the corresponding Weyl functions. We establi…

math.SP2016★ 12 cited

Dispersion Estimates for Spherical Schrödinger Equations: The Effect of Boundary Conditions

Markus Holzleitner, Aleksey Kostenko, Gerald Teschl

We investigate the dependence of the $L^{1} \to L^{\infty}$ dispersive estimates for one-dimensional radial Schrö\-din\-ger operators on boundary conditions at $0$ . In contrast to the c…

Dispersion Estimates for Spherical Schrödinger Equations with Critical Angular Momentum

Schrödinger Operators with δ-interactions in a Space of Vector-Valued Functions

Dispersion Estimates for Spherical Schrödinger Equations: The Effect of Boundary Conditions

Schrödinger Operators with $δ$ -interactions in a Space of Vector-Valued Functions