Long-time asymptotics for the Camassa-Holm equation AB De Monvel, A Kostenko, D Shepelsky, G Teschl SIAM J. Math. Analysis 41 (4), 1559-1588 (2009), 2009 | 223 | 2009 |
1-D Schrödinger operators with local point interactions on a discrete set AS Kostenko, MM Malamud Journal of Differential Equations 249 (2), 253-304 (2010), 2010 | 186 | 2010 |
Weyl-Titchmarsh Theory for Schroedinger Operators with Strongly Singular Potentials A Kostenko, A Sakhnovich, G Teschl Int. Math. Res. Not. (IMRN), 1699-1747 (2012), 2010 | 93 | 2010 |
On the singular Weyl–Titchmarsh function of perturbed spherical Schrödinger operators A Kostenko, G Teschl Journal of Differential Equations 250 (9), 3701-3739 (2011), 2011 | 80 | 2011 |
Spectral theory of semibounded Sturm–Liouville operators with local interactions on a discrete set S Albeverio, A Kostenko, M Malamud Journal of Mathematical Physics 51 (10), Art ID 102102 (2010), 2010 | 75 | 2010 |
Inverse eigenvalue problems for perturbed spherical Schrödinger operators A Kostenko, A Sakhnovich, G Teschl Inverse Problems 26 (10), Art ID 105013 (2010), 2010 | 70 | 2010 |
Commutation methods for Schrödinger operators with strongly singular potentials A Kostenko, A Sakhnovich, G Teschl Mathematische Nachrichten 285 (4), 392-410 (2012), 2010 | 54 | 2010 |
Spectral theory of infinite quantum graphs P Exner, A Kostenko, M Malamud, H Neidhardt Ann. Henri Poincaré 19 (11), 3457-3510, 2018 | 52 | 2018 |
An isospectral problem for global conservative multi-peakon solutions of the Camassa–Holm equation J Eckhardt, A Kostenko Communications in Mathematical Physics 329 (3), 893-918 (2014), 2014 | 51 | 2014 |
One-dimensional Schrödinger operator with δ-interactions AS Kostenko, MM Malamud Functional Analysis and Its Applications 44 (2), 151-155 (2010), 2010 | 49 | 2010 |
The similarity problem for -nonnegative Sturm-Liouville operators IM Karabash, AS Kostenko, MM Malamud Journal of Differential Equations 246 (3), 964-997 (2009), 2008 | 47 | 2008 |
1-D Schrödinger operators with local point interactions: a review A Kostenko, M Malamud "Spectral Analysis, Differential Equations and Mathematical Physics", H …, 2013 | 45 | 2013 |
The inverse spectral problem for indefinite strings J Eckhardt, A Kostenko Invent. Math. 204 (3), 939-977, 2014 | 43 | 2014 |
Spectral estimates for infinite quantum graphs A Kostenko, N Nicolussi Calculus of Variations and Partial Differential Equations 58 (1), 15, 2019 | 33 | 2019 |
Spectral asymptotics for perturbed spherical Schrödinger operators and applications to quantum scattering A Kostenko, G Teschl Communications in Mathematical Physics 322 (1), 255-275 (2013), 2012 | 32 | 2012 |
One-dimensional Schroedinger operators with delta-prime-interactions on Cantor-type sets J Eckhardt, A Kostenko, M Malamud, G Teschl J. Differential Equations 257 (2), 415-449 (2014), 2014 | 29 | 2014 |
Spectral asymptotics for canonical systems J Eckhardt, A Kostenko, G Teschl J. reine und angew. Math. 736, 285-315 (2018), 2014 | 25* | 2014 |
Singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators R Brunnhuber, J Eckhardt, A Kostenko, G Teschl Monats. Math. 174 (4), 515-547 (2014), 2013 | 25 | 2013 |
The similarity problem for indefinite Sturm-Liouville operators and the HELP inequality A Kostenko Advances in Mathematics 246, 368-413 (2013), 2012 | 25 | 2012 |
Quadratic operator pencils associated with the conservative Camassa–Holm flow J Eckhardt, A Kostenko Bull. Soc. Math. France 145 (1), 47-95, 2014 | 23 | 2014 |