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The inverse problem of two-state quantum systems with non-adiabatic static linear coupling
Andrii Khrabustovskyi, Imen Rassas, Eric Soccorsi
Communications in Contemporary Mathematics (2020), doi: 10.1142/S0219199720500029
preprint,
article
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δ′-interaction as a limit of a thin Neumann waveguide with transversal window,
Giuseppe Cardone, Andrii Khrabustovskyi
Journal of Mathematical Analysis and Applications 473(2) (2019), 1320-1342
preprint,
article
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Retrieving effective material parameters of metamaterials characterized by nonlocal constitutive relations
Karim Mnasri, Andrii Khrabustovskyi, Michael Plum, Carsten Rockstuhl
Physical Review B 99 (3) (2019), 035442
preprint,
article
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Spectral estimates for Dirichlet Laplacian on tubes with exploding twisting velocity
Diana Barseghyan, Andrii Khrabustovskyi
Operators and Matrices 13 (1) (2019), 311-322
preprint,
article
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Operator estimates for the crushed ice problem
Andrii Khrabustovskyi, Olaf Post
Asymptotic Analysis 110(3-4) (2018),137-161
preprint,
article
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Gap control by singular Schrödinger operators in a periodically structured metamaterial
Pavel Exner, Andrii Khrabustovskyi
Journal of Mathematical Physics, Analysis, Geometry 14(3) (2018), 270-285
preprint,
article
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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
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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
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Spectrum of a singularly perturbed periodic thin waveguide
Giuseppe Cardone, Andrii Khrabustovskyi
Journal of Mathematical Analysis and Applications 454(2) (2017), 673-694
preprint,
article
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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.177-187
preprint,
article
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Spectral properties of elliptic operator with double-contrast coefficients near a hyperplane
Andrii Khrabustovskyi, Michael Plum
Asymptotic Analysis, 98 (1-2) (2016), 91-130.
preprint,
article
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Spectral analysis of a class of Schrödinger operators exhibiting a parameter-dependent spectral transition
Diana Barseghyan, Pavel Exner, Andrii Khrabustovskyi, Milos Tater
Journal of Physics A: Mathematical and Theoretical, 49 (16) (2016), 165302
preprint,
article
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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
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Neumann spectral problem in a domain with very corrugated boundary
Giuseppe Cardone, Andrii Khrabustovskyi
Journal of Differential Equations, 259(6) (2015), 2333-2367
preprint,
article
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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
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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
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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), 11-26
preprint,
article
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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), 1255-1289
preprint, article
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Periodic elliptic operators with asymptotically preassigned spectrum
Andrii Khrabustovskyi
Asymptotic Analysis, 82(1-2) (2013), 1-37
preprint, article
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Periodic Riemannian manifold with preassigned gaps in spectrum of Laplace-Beltrami operator
Andrii Khrabustovskyi
Journal of Differential Equations, 252(3) (2012), 2339–2369
preprint, article
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Homogenization of eigenvalue problem for Laplace-Beltrami operator on Riemannian manifold with complicated "bubble-like" microstructure
Mathematical Methods in the Applied Sciences, 32(16) (2009), 2123–2137
article
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On spectrum of Riemannian manifolds with attached thin handles
Andrii Khrabustovskyi
Journal of Mathematical Physics, Analysis, Geometry, 5(2) (2009), 145-169
article (free access)
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Asymptotic behaviour of spectrum of Laplace-Beltrami operator on Riemannian manifolds with complex microstructure
Andrii Khrabustovskyi
Applicable Analysis, 87(12) (2008), 1357-1372
article
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Positivity and time behavior of a linear reaction-diffusion system, non-local in space and time
Andrii Khrabustovskyi, Holger Stephan
Mathematical Methods in the Applied Sciences, 31(15) (2008), 1809-1834
preprint, article
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Klein-Gordon 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), 213-233
article (free access)
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