
Spectral estimates for Dirichlet Laplacian on tubes with exploding twisting velocity
Diana Barseghyan, Andrii Khrabustovskyi
Operators and Matrices (2018), accepted
preprint

Operator estimates for the crushed ice problem
Andrii Khrabustovskyi, Olaf Post
Asymptotic Analysis 110(34) (2018),137161.
preprint,
article

Gap control by singular Schrödinger operators in a periodically structured metamaterial
Pavel Exner, Andrii Khrabustovskyi
Journal of Mathematical Physics, Analysis, Geometry 14(3) (2018), 270285.
preprint,
article

Surface Plasmon Polaritons Sustained at the Interface of a Nonlocal Metamaterial
Joshua Feis, Karim Mnasri, Andrii Khrabustovskyi, Christian Stohrer, Michael Plum, Carsten Rockstuhl
Physical Review B 98 (11) (2018), 115409
preprint,
article

Beyond local effective material properties for metamaterials
Karim Mnasri, Andrii Khrabustovskyi, Christian Stohrer, Michael Plum, Carsten Rockstuhl
Physical Review B, 97 (2018), 075439.
preprint. part 1, preprint. part 2,
article

Spectrum of a singularly perturbed periodic thin waveguide
Giuseppe Cardone, Andrii Khrabustovskyi
Journal of Mathematical Analysis and Applications 454(2) (2017), 673694
preprint,
article

Example of a periodic Neumann waveguide with a gap in its spectrum
Giuseppe Cardone, Andrii Khrabustovskyi
In: J. Dittrich, H. Kovarik, A. Laptev (Eds.), Functional Analysis and Operator Theory for Quantum Physics. The Pavel Exner Anniversary Volume, Europ. Math. Soc. Publ. House, 2017, pp.177187.
preprint,
article

Spectral properties of elliptic operator with doublecontrast coefficients near a hyperplane
Andrii Khrabustovskyi, Michael Plum
Asymptotic Analysis, 98 (12) (2016), 91130.
preprint,
article

Spectral analysis of a class of Schrödinger operators exhibiting a parameterdependent spectral transition
Diana Barseghyan, Pavel Exner, Andrii Khrabustovskyi, Milos Tater
Journal of Physics A: Mathematical and Theoretical, 49 (16) (2016), 165302
preprint,
article

On the spectrum of narrow Neumann waveguide with periodically distributed δ′ traps
Pavel Exner, Andrii Khrabustovskyi
Journal of Physics A: Mathematical and Theoretical, 48 (31) (2015), 315301
preprint,
article

Neumann spectral problem in a domain with very corrugated boundary
Giuseppe Cardone, Andrii Khrabustovskyi
Journal of Differential Equations, 259(6) (2015), 23332367
preprint,
article

Gaps in the spectrum of a periodic quantum graph with periodically distributed δ′type interactions
Diana Barseghyan, Andrii Khrabustovskyi
Journal of Physics A: Mathematical and Theoretical, 48(25) (2015), 255201
preprint,
article

Opening up and control of spectral gaps of the Laplacian in periodic domains
Andrii Khrabustovskyi
Journal of Mathematical Physics, 55(12) (2014), 121502
preprint,
article

Gaps in the spectrum of the Neumann Laplacian generated by a system of periodically distributed traps
Andrii Khrabustovskyi, Evgeni Khruslov
Mathematical Methods in the Applied Sciences, 38(1) (2015), 1126
preprint,
article

Homogenization of spectral problem on Riemannian manifold consisting of two domains connected by many tubes
Andrii Khrabustovskyi
Proceedings of the Royal Society of Edinburgh, Section: A Mathematics, 143(6) (2013), 12551289
preprint, article

Periodic elliptic operators with asymptotically preassigned spectrum
Andrii Khrabustovskyi
Asymptotic Analysis, 82(12) (2013), 137
preprint, article

Periodic Riemannian manifold with preassigned gaps in spectrum of LaplaceBeltrami operator
Andrii Khrabustovskyi
Journal of Differential Equations, 252(3) (2012), 2339–2369
preprint, article

Homogenization of eigenvalue problem for LaplaceBeltrami operator on Riemannian manifold with complicated "bubblelike" microstructure
Mathematical Methods in the Applied Sciences, 32(16) (2009), 2123–2137
article

On spectrum of Riemannian manifolds with attached thin handles
Andrii Khrabustovskyi
Journal of Mathematical Physics, Analysis, Geometry, 5(2) (2009), 145169
article (free access)

Asymptotic behaviour of spectrum of LaplaceBeltrami operator on Riemannian manifolds with complex microstructure
Andrii Khrabustovskyi
Applicable Analysis, 87(12) (2008), 13571372
article

Positivity and time behavior of a linear reactiondiffusion system, nonlocal in space and time
Andrii Khrabustovskyi, Holger Stephan
Mathematical Methods in the Applied Sciences, 31(15) (2008), 18091834
preprint, article

KleinGordon equation as a result of wave equation averaging on the Riemannian manifold of complex microstructure
Andrii Khrabustovskyi
Journal of Mathematical Physics, Analysis, Geometry, 3 (2) (2007), 213233
article (free access)
