Ilia Kamotski
Ilia Kamotski
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Cited by
Spectral problems in singularly perturbed domains and selfadjoint extensions of differential operators
I Kamotski, SA Nazarov
Proceedings of the St. Petersburg Mathematical Society, Vol. VI, 127–181 …, 2000
Low–frequency acoustic waves in nematic elastomers
LJ Fradkin, IV Kamotski, EM Terentjev, DD Zakharov
Proceedings of the Royal Society of London. Series A: Mathematical, Physical …, 2003
Homogenization of spectral problems in bounded domains with doubly high contrasts
NO Babych, IV Kamotski, VP Smyshlyaev
Networks and heterogeneous Media 3 (3), 413-436, 2008
The augmented scattering matrix and exponentially decaying solutions of an elliptic problem in a cylindrical domain
IV Kamotski, SA Nazarov
Journal of Mathematical Sciences 111 (4), 3657-3666, 2002
Coercivity of Combined Boundary Integral Equations in High‐Frequency Scattering
EA Spence, IV Kamotski, VP Smyshlyaev
Communications on Pure and Applied Mathematics 68 (9), 1587-1639, 2015
Propagation of acoustic waves in nematic elastomers
EM Terentjev, IV Kamotski, DD Zakharov, LJ Fradkin
Physical Review E 66 (5), 052701, 2002
On eigenfunctions localized in a neighborhood of the lateral surface of a thin domain
IV Kamotskii, SA Nazarov
Journal of Mathematical Sciences 101, 2941-2974, 2000
Regularity properties, representation of solutions, and spectral asymptotics of systems with multiplicities
I Kamotski, M Ruzhansky
Communications in Partial Differential Equations 32 (1), 1-35, 2007
Surface wave running along the edge of an elastic wedge
IV Kamotskii
Algebra Anal 20, N1, 2008
Elastic waves localized near periodic families of defects
IV Kamotskii, SA Nazarov
Dokl. Ross. Akad. Nauk 368 (6), 771-773, 1999
Bandgaps in two-dimensional high-contrast periodic elastic beam lattice materials
IIV Kamotski, VP Smyshlyaev
Journal of the Mechanics and Physics of Solids 123, 292-304, 2019
On nonexistence of Baras–Goldstein type for higher-order parabolic equations with singular potentials
V Galaktionov, I Kamotski
Transactions of the American Mathematical Society 362 (8), 4117-4136, 2010
An energy approach to the proof of the existence of Rayleigh waves in an anisotropic elastic half-space
IV Kamotskii, AP Kiselev
Journal of applied mathematics and mechanics 73 (4), 464-470, 2009
Localised modes due to defects in high contrast periodic media via homogenization
IV Kamotski, VP Smyshlyaev
Bath Institute for Complex Systems 3 (06), 2006
On the third boundary value problem in domains with cusps
IV Kamotski, VG Maz’ya
Journal of Mathematical Sciences 173 (5), 609-631, 2011
Two-scale homogenization for a general class of high contrast PDE systems with periodic coefficients
IV Kamotski, VP Smyshlyaev
Applicable Analysis 98 (1-2), 64-90, 2019
Two-scale homogenization for a class of partially degenerating PDE systems
IV Kamotski, VP Smyshlyaev
Preprint, 2013
Localized modes due to defects in high contrast periodic media via two-scale homogenization
IV Kamotski, VP Smyshlyaev
Journal of Mathematical Sciences 232, 349-377, 2018
On the linear water wave problem in the presence of a critically submerged body
IV Kamotski, VG Maz'ya
SIAM Journal on Mathematical Analysis 44 (6), 4222-4249, 2012
On band gaps in photonic crystal fibers
S Cooper, I Kamotski, V Smyshlyaev
arXiv preprint arXiv:1411.0238, 2014
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