Chesnel, Lucas; Heleine, Jérémy; Nazarov, Sergei A.; Taskinen, Jari Acoustic waveguide with a dissipative inclusion. (English) Zbl 07792496 ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3585-3613 (2023). MSC: 35Q60 78A50 78A40 78A45 78M35 78A60 35B40 35P25 35J05 41A60 35B05 35A01 35A02 PDFBibTeX XMLCite \textit{L. Chesnel} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3585--3613 (2023; Zbl 07792496) Full Text: DOI arXiv
Chesnel, Lucas; Nazarov, Sergei A. Spectrum of the Dirichlet Laplacian in a thin cubic lattice. (English) Zbl 07792486 ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3251-3273 (2023). MSC: 35P20 35J05 35Q40 47A75 81Q37 PDFBibTeX XMLCite \textit{L. Chesnel} and \textit{S. A. Nazarov}, ESAIM, Math. Model. Numer. Anal. 57, No. 6, 3251--3273 (2023; Zbl 07792486) Full Text: DOI arXiv
Gómez, Delfina; Nazarov, Sergei A.; Orive-Illera, Rafael; Pérez-Martínez, María-Eugenia Asymptotic stability of the spectrum of a parametric family of homogenization problems associated with a perforated waveguide. (English) Zbl 1525.35018 Math. Nachr. 296, No. 10, 4888-4910 (2023). MSC: 35B27 35P05 35J25 47A10 47A55 PDFBibTeX XMLCite \textit{D. Gómez} et al., Math. Nachr. 296, No. 10, 4888--4910 (2023; Zbl 1525.35018) Full Text: DOI arXiv OA License
Gómez, Delfina; Nazarov, Sergei A.; Orive-Illera, Rafael; Pérez-Martínez, María-Eugenia Spectral gaps in a double-periodic perforated Neumann waveguide. (English) Zbl 1509.35293 Asymptotic Anal. 131, No. 3-4, 385-441 (2023). MSC: 35Q60 78A50 35P20 35C20 35J05 PDFBibTeX XMLCite \textit{D. Gómez} et al., Asymptotic Anal. 131, No. 3--4, 385--441 (2023; Zbl 1509.35293) Full Text: DOI arXiv
Nazarov, S. A. Abnormal transmission of elastic waves through a thin ligament connecting two planar isotropic waveguides. (English. Russian original) Zbl 1516.74058 Mech. Solids 57, No. 8, 1908-1922 (2022); translation from Prikl. Mat. Mekh. 86, No. 6, 977-997 (2022). MSC: 74J20 74H10 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Mech. Solids 57, No. 8, 1908--1922 (2022; Zbl 1516.74058); translation from Prikl. Mat. Mekh. 86, No. 6, 977--997 (2022) Full Text: DOI
Chesnel, Lucas; Heleine, Jérémy; Nazarov, Sergei A. Acoustic passive cloaking using thin outer resonators. (English) Zbl 1487.35265 Z. Angew. Math. Phys. 73, No. 3, Paper No. 98, 31 p. (2022). MSC: 35P25 35B40 35J25 35Q60 41A60 78A40 78M35 PDFBibTeX XMLCite \textit{L. Chesnel} et al., Z. Angew. Math. Phys. 73, No. 3, Paper No. 98, 31 p. (2022; Zbl 1487.35265) Full Text: DOI arXiv
Chesnel, Lucas; Heleine, Jérémy; Nazarov, Sergei A. Design of a mode converter using thin resonant ligaments. (English) Zbl 1483.35014 Commun. Math. Sci. 20, No. 2, 425-445 (2022). MSC: 35B25 35B40 35J25 35Q60 41A60 78A40 78M35 PDFBibTeX XMLCite \textit{L. Chesnel} et al., Commun. Math. Sci. 20, No. 2, 425--445 (2022; Zbl 1483.35014) Full Text: DOI arXiv
Nazarov, S. A. The preservation of threshold resonances and the splitting off of eigenvalues from the threshold of the continuous spectrum of quantum waveguides. (English. Russian original) Zbl 1473.35170 Sb. Math. 212, No. 7, 965-1000 (2021); translation from Mat. Sb. 212, No. 7, 84-121 (2021). MSC: 35J25 81Q37 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Sb. Math. 212, No. 7, 965--1000 (2021; Zbl 1473.35170); translation from Mat. Sb. 212, No. 7, 84--121 (2021) Full Text: DOI
Gómez, D.; Nazarov, S. A.; Orive-Illera, R.; Pérez-Martínez, M.-E. Remark on justification of asymptotics of spectra of cylindrical waveguides with periodic singular perturbations of boundary and coefficients. (English. Russian original) Zbl 1472.35258 J. Math. Sci., New York 257, No. 5, 597-623 (2021); translation from Probl. Mat. Anal. 111, 43-65 (2021). MSC: 35P20 35B27 35J25 PDFBibTeX XMLCite \textit{D. Gómez} et al., J. Math. Sci., New York 257, No. 5, 597--623 (2021; Zbl 1472.35258); translation from Probl. Mat. Anal. 111, 43--65 (2021) Full Text: DOI
Nazarov, S. A.; Chesnel, L. Anomalies of acoustic wave propagation in two semi-infinite cylinders connected by a flattened ligament. (English. Russian original) Zbl 1465.76093 Comput. Math. Math. Phys. 61, No. 4, 646-663 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 4, 666-683 (2021). MSC: 76Q05 76M45 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{L. Chesnel}, Comput. Math. Math. Phys. 61, No. 4, 646--663 (2021; Zbl 1465.76093); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 4, 666--683 (2021) Full Text: DOI
Nazarov, S. A.; Chesnel, L. Almost complete transmission of waves through perforated cross-walls in a waveguide with Dirichlet boundary condition. (English. Russian original) Zbl 1462.35378 Sib. Math. J. 62, No. 2, 272-291 (2021); translation from Sib. Mat. Zh. 62, No. 2, 339-361 (2021). MSC: 35Q60 78A50 78A45 35B40 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{L. Chesnel}, Sib. Math. J. 62, No. 2, 272--291 (2021; Zbl 1462.35378); translation from Sib. Mat. Zh. 62, No. 2, 339--361 (2021) Full Text: DOI
Nazarov, Sergei A. Waveguide with double threshold resonance at a simple threshold. (English. Russian original) Zbl 1454.35063 Sb. Math. 211, No. 8, 1080-1126 (2020); translation from Mat. Sb. 211, No. 8, 20-67 (2020). MSC: 35J05 35J25 35P05 35P25 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Sb. Math. 211, No. 8, 1080--1126 (2020; Zbl 1454.35063); translation from Mat. Sb. 211, No. 8, 20--67 (2020) Full Text: DOI
Nazarov, S. A. Constructing a trapped mode at low frequencies in an elastic waveguide. (English. Russian original) Zbl 1447.74020 Funct. Anal. Appl. 54, No. 1, 31-44 (2020); translation from Funkts. Anal. Prilozh. 54, No. 1, 41-57 (2020). MSC: 74J05 74B05 74E10 35Q74 35P15 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Funct. Anal. Appl. 54, No. 1, 31--44 (2020; Zbl 1447.74020); translation from Funkts. Anal. Prilozh. 54, No. 1, 41--57 (2020) Full Text: DOI
Nazarov, S. A. Trapping elastic waves by a semi-infinite cylinder with partly fixed surface. (English. Russian original) Zbl 1454.35240 Sib. Math. J. 61, No. 1, 127-138 (2020); translation from Sib. Mat. Zh. 61, No. 1, 160-174 (2020). MSC: 35P05 35J25 35Q74 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Sib. Math. J. 61, No. 1, 127--138 (2020; Zbl 1454.35240); translation from Sib. Mat. Zh. 61, No. 1, 160--174 (2020) Full Text: DOI
Nazarov, S. A. Finite-dimensional approximations to the Poincaré-Steklov operator for general elliptic boundary value problems in domains with cylindrical and periodic exits to infinity. (English. Russian original) Zbl 1445.35157 Trans. Mosc. Math. Soc. 2019, 1-51 (2019); translation from Tr. Mosk. Mat. O.-va 80, No. 1, 1-62 (2019). Reviewer: Rodica Luca (Iaşi) MSC: 35J57 47F05 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Trans. Mosc. Math. Soc. 2019, 1--51 (2019; Zbl 1445.35157); translation from Tr. Mosk. Mat. O.-va 80, No. 1, 1--62 (2019) Full Text: DOI
Nazarov, S. A. Asymptotics of eigenvalues in spectral gaps of periodic waveguides with small singular perturbations. (English. Russian original) Zbl 1437.35518 J. Math. Sci., New York 243, No. 5, 746-773 (2019); translation from Zap. Nauchn. Semin. POMI 471, 168-210 (2018). Reviewer: Denis Borisov (Ufa) MSC: 35P20 PDFBibTeX XMLCite \textit{S. A. Nazarov}, J. Math. Sci., New York 243, No. 5, 746--773 (2019; Zbl 1437.35518); translation from Zap. Nauchn. Semin. POMI 471, 168--210 (2018) Full Text: DOI
Leugering, Günter; Nazarov, Sergei A.; Taskinen, Jari Umov-Poynting-Mandelstam radiation conditions in periodic composite piezoelectric waveguides. (English) Zbl 1420.35396 Asymptotic Anal. 111, No. 2, 69-111 (2019). MSC: 35Q60 35Q74 74F15 78A50 35B40 78A40 74B05 76Q05 PDFBibTeX XMLCite \textit{G. Leugering} et al., Asymptotic Anal. 111, No. 2, 69--111 (2019; Zbl 1420.35396) Full Text: DOI
Nazarov, S. A. Various manifestations of wood anomalies in locally distorted quantum waveguides. (English. Russian original) Zbl 1421.78020 Comput. Math. Math. Phys. 58, No. 11, 1838-1855 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 11, 1911-1931 (2018). MSC: 78A50 78A45 78M35 35J05 35Q60 35B25 81V80 81Q37 82D77 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Comput. Math. Math. Phys. 58, No. 11, 1838--1855 (2018; Zbl 1421.78020); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 11, 1911--1931 (2018) Full Text: DOI
Nazarov, S. A. Transmission of waves through a small aperture in the cross-wall in an acoustic waveguide. (English. Russian original) Zbl 1394.35146 Sib. Math. J. 59, No. 1, 85-101 (2018); translation from Sib. Mat. Zh. 59, No. 1, 110-129 (2018). MSC: 35J05 78A50 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Sib. Math. J. 59, No. 1, 85--101 (2018; Zbl 1394.35146); translation from Sib. Mat. Zh. 59, No. 1, 110--129 (2018) Full Text: DOI
Nazarov, Sergei A.; Taskinen, Jari Essential spectrum of a periodic waveguide with non-periodic perturbation. (English) Zbl 1437.35515 J. Math. Anal. Appl. 463, No. 2, 922-933 (2018). Reviewer: Denis Borisov (Ufa) MSC: 35P05 35J05 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{J. Taskinen}, J. Math. Anal. Appl. 463, No. 2, 922--933 (2018; Zbl 1437.35515) Full Text: DOI Link
Cardone, Giuseppe; Durante, T.; Nazarov, S. A. Embedded eigenvalues of the Neumann problem in a strip with a box-shaped perturbation. (English. French summary) Zbl 1491.35132 J. Math. Pures Appl. (9) 112, 1-40 (2018). MSC: 35J05 35J25 35P05 47A75 78A50 PDFBibTeX XMLCite \textit{G. Cardone} et al., J. Math. Pures Appl. (9) 112, 1--40 (2018; Zbl 1491.35132) Full Text: DOI arXiv
Bonnet-Ben Dhia, Anne-Sophie; Chesnel, Lucas; Nazarov, Sergei A. Perfect transmission invisibility for waveguides with sound hard walls. (English. French summary) Zbl 1397.35197 J. Math. Pures Appl. (9) 111, 79-105 (2018). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q35 76Q05 65N30 35C20 35R30 65N21 65N25 35J05 35B25 PDFBibTeX XMLCite \textit{A.-S. Bonnet-Ben Dhia} et al., J. Math. Pures Appl. (9) 111, 79--105 (2018; Zbl 1397.35197) Full Text: DOI arXiv
Nazarov, S. A. Asymptotics of eigenvalues in spectral gaps under regular perturbations of walls of a periodic waveguide. (English. Russian original) Zbl 1439.35145 J. Math. Sci., New York 226, No. 4, 402-444 (2017); translation from Probl. Mat. Anal. 89, 63-98 (2017). Reviewer: Denis Borisov (Ufa) MSC: 35J05 35B25 35J25 35P15 81R12 35B32 35P05 PDFBibTeX XMLCite \textit{S. A. Nazarov}, J. Math. Sci., New York 226, No. 4, 402--444 (2017; Zbl 1439.35145); translation from Probl. Mat. Anal. 89, 63--98 (2017) Full Text: DOI
Bakharev, Fedor; Matveenko, Sergey; Nazarov, Sergey Examples of plentiful discrete spectra in infinite spatial cruciform quantum waveguides. (English) Zbl 1368.65225 Z. Anal. Anwend. 36, No. 3, 329-341 (2017). MSC: 65N25 47F05 47A75 PDFBibTeX XMLCite \textit{F. Bakharev} et al., Z. Anal. Anwend. 36, No. 3, 329--341 (2017; Zbl 1368.65225) Full Text: DOI arXiv
Nazarov, Sergei A. The asymptotic behaviour of the scattering matrix in a neighbourhood of the endpoints of a spectral gap. (English. Russian original) Zbl 1379.35102 Sb. Math. 208, No. 1, 103-156 (2017); translation from Mat. Sb. 208, No. 1, 111-164 (2017). MSC: 35J25 35B25 35P05 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Sb. Math. 208, No. 1, 103--156 (2017; Zbl 1379.35102); translation from Mat. Sb. 208, No. 1, 111--164 (2017) Full Text: DOI
Nazarov, S. A. The spectra of rectangular lattices of quantum waveguides. (English. Russian original) Zbl 1364.35217 Izv. Math. 81, No. 1, 29-90 (2017); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 1, 31-92 (2017). MSC: 35P20 35J25 47A55 81Q15 81Q37 82D77 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Izv. Math. 81, No. 1, 29--90 (2017; Zbl 1364.35217); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 1, 31--92 (2017) Full Text: DOI
Cardone, G.; Durante, T.; Nazarov, S. A. The spectrum, radiation conditions and the Fredholm property for the Dirichlet Laplacian in a perforated plane with semi-infinite inclusions. (English) Zbl 1386.35281 J. Differ. Equations 263, No. 2, 1387-1418 (2017). Reviewer: Jonathan Rohleder (Hamburg) MSC: 35P05 47A75 49R05 78A50 PDFBibTeX XMLCite \textit{G. Cardone} et al., J. Differ. Equations 263, No. 2, 1387--1418 (2017; Zbl 1386.35281) Full Text: DOI arXiv
Nazarov, S. A. Almost standing waves in a periodic waveguide with resonator, and near-threshold eigenvalues. (English. Russian original) Zbl 1361.81059 St. Petersbg. Math. J. 28, No. 3, 377-410 (2017); translation from Algebra Anal. 28 No. 3, 111-160 (2016). MSC: 81Q37 81Q10 35J05 81U20 PDFBibTeX XMLCite \textit{S. A. Nazarov}, St. Petersbg. Math. J. 28, No. 3, 377--410 (2017; Zbl 1361.81059); translation from Algebra Anal. 28 No. 3, 111--160 (2016) Full Text: DOI
Bakharev, F. L.; Matveenko, S. G.; Nazarov, S. A. The discrete spectrum of cross-shaped waveguides. (English. Russian original) Zbl 1356.81137 St. Petersbg. Math. J. 28, No. 2, 171-180 (2017); translation from Algebra Anal. 28, No. 2, 58-71 (2016). MSC: 81Q37 PDFBibTeX XMLCite \textit{F. L. Bakharev} et al., St. Petersbg. Math. J. 28, No. 2, 171--180 (2017; Zbl 1356.81137); translation from Algebra Anal. 28, No. 2, 58--71 (2016) Full Text: DOI
Dhia, A. S. Bonnet-Ben; Lunéville, E.; Mbeutcha, Y.; Nazarov, S. A. A method to build non-scattering perturbations of two-dimensional acoustic waveguides. (English) Zbl 1358.35113 Math. Methods Appl. Sci. 40, No. 2, 335-349 (2017). MSC: 35Q35 35J05 65N30 41A60 47H10 76Q05 35B40 PDFBibTeX XMLCite \textit{A. S. B. B. Dhia} et al., Math. Methods Appl. Sci. 40, No. 2, 335--349 (2017; Zbl 1358.35113) Full Text: DOI
Korolkov, A. I.; Nazarov, Sergei A.; Shanin, A. V. Stabilizing solutions at thresholds of the continuous spectrum and anomalous transmission of waves. (English) Zbl 07775106 ZAMM, Z. Angew. Math. Mech. 96, No. 10, 1245-1260 (2016). MSC: 35Jxx 35Pxx 35Bxx PDFBibTeX XMLCite \textit{A. I. Korolkov} et al., ZAMM, Z. Angew. Math. Mech. 96, No. 10, 1245--1260 (2016; Zbl 07775106) Full Text: DOI
Nazarov, Sergei A.; Ruotsalainen, Keijo M.; Silvola, Minna Trapped modes in piezoelectric and elastic waveguides. (English) Zbl 1352.37198 J. Elasticity 124, No. 2, 193-223 (2016). MSC: 37N15 35P15 35Q74 74F15 74F20 37N20 78A50 PDFBibTeX XMLCite \textit{S. A. Nazarov} et al., J. Elasticity 124, No. 2, 193--223 (2016; Zbl 1352.37198) Full Text: DOI
Chesnel, Lucas; Nazarov, Sergei A. Team organization may help swarms of flies to become invisible in closed waveguides. (English) Zbl 1348.35254 Inverse Probl. Imaging 10, No. 4, 977-1006 (2016). MSC: 35Q60 65N21 35R30 PDFBibTeX XMLCite \textit{L. Chesnel} and \textit{S. A. Nazarov}, Inverse Probl. Imaging 10, No. 4, 977--1006 (2016; Zbl 1348.35254) Full Text: DOI arXiv
Nazarov, S. A. Discrete spectrum of cranked quantum and elastic waveguides. (English. Russian original) Zbl 1458.35288 Comput. Math. Math. Phys. 56, No. 5, 864-880 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 5, 879-895 (2016). MSC: 35P15 35J25 35Q74 81Q37 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Comput. Math. Math. Phys. 56, No. 5, 864--880 (2016; Zbl 1458.35288); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 5, 879--895 (2016) Full Text: DOI
Nazarov, S. A. Gap opening around a given point of the spectrum of a cylindrical waveguide by means of a gentle periodic perturbation of walls. (English. Russian original) Zbl 1348.35148 J. Math. Sci., New York 206, No. 3, 288-314 (2015); translation from Zap. Nauchn. Semin. POMI 422, 90-130 (2014). Reviewer: J. M. Hoff da Silva (Guaratinguetá) MSC: 35P05 35C20 35G05 35J25 35B10 35B27 35J05 74J05 78A50 PDFBibTeX XMLCite \textit{S. A. Nazarov}, J. Math. Sci., New York 206, No. 3, 288--314 (2015; Zbl 1348.35148); translation from Zap. Nauchn. Semin. POMI 422, 90--130 (2014) Full Text: DOI
Kemppainen, J. T.; Nazarov, S. A.; Ruotsalainen, K. M. Perturbation analysis of embedded eigenvalues for water-waves. (English) Zbl 1334.35241 J. Math. Anal. Appl. 427, No. 1, 399-427 (2015). MSC: 35Q35 35J25 35B25 76B15 PDFBibTeX XMLCite \textit{J. T. Kemppainen} et al., J. Math. Anal. Appl. 427, No. 1, 399--427 (2015; Zbl 1334.35241) Full Text: DOI
Nazarov, Sergei A.; Taskinen, Jari Spectral gaps for periodic piezoelectric waveguides. (English) Zbl 1333.35275 Z. Angew. Math. Phys. 66, No. 6, 3017-3047 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q74 35H99 74F15 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{J. Taskinen}, Z. Angew. Math. Phys. 66, No. 6, 3017--3047 (2015; Zbl 1333.35275) Full Text: DOI
Bakharev, F. L.; Nazarov, St. A. Gaps in the spectrum of a waveguide composed of domains with different limiting dimensions. (English. Russian original) Zbl 1327.35262 Sib. Math. J. 56, No. 4, 575-592 (2015); translation from Sib. Mat. Zh. 56, No. 4, 732-751 (2015). MSC: 35P05 35J05 PDFBibTeX XMLCite \textit{F. L. Bakharev} and \textit{St. A. Nazarov}, Sib. Math. J. 56, No. 4, 575--592 (2015; Zbl 1327.35262); translation from Sib. Mat. Zh. 56, No. 4, 732--751 (2015) Full Text: DOI
Cardone, G.; Nazarov, S. A.; Taskinen, J. Spectra of open waveguides in periodic media. (English) Zbl 1322.35097 J. Funct. Anal. 269, No. 8, 2328-2364 (2015). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35P05 47A75 49R05 78A50 PDFBibTeX XMLCite \textit{G. Cardone} et al., J. Funct. Anal. 269, No. 8, 2328--2364 (2015; Zbl 1322.35097) Full Text: DOI arXiv
Nazarov, S. A. Umov-Mandelshtam radiation conditions in elastic periodic waveguides. (English. Russian original) Zbl 1304.35677 Sb. Math. 205, No. 7, 953-982 (2014); translation from Mat. Sb. 205, No. 7, 43-72 (2014). MSC: 35Q74 74B05 74J05 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Sb. Math. 205, No. 7, 953--982 (2014; Zbl 1304.35677); translation from Mat. Sb. 205, No. 7, 43--72 (2014) Full Text: DOI
Nazarov, S. A.; Ruotsalainen, K.; Uusitalo, P. The Y-junction of quantum waveguides. (English) Zbl 1302.81104 ZAMM, Z. Angew. Math. Mech. 94, No. 6, 477-486 (2014). MSC: 81Q37 81Q10 35J05 35J25 82D77 PDFBibTeX XMLCite \textit{S. A. Nazarov} et al., ZAMM, Z. Angew. Math. Mech. 94, No. 6, 477--486 (2014; Zbl 1302.81104) Full Text: DOI
Nazarov, S. A. Enforced stability of a simple eigenvalue in the continuous spectrum of a waveguide. (English. Russian original) Zbl 1325.35120 Funct. Anal. Appl. 47, No. 3, 195-209 (2013); translation from Funkts. Anal. Prilozh. 47, No. 3, 37-53 (2013). Reviewer: Michael Perelmuter (Kyïv) MSC: 35P05 47F05 35J05 78A50 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Funct. Anal. Appl. 47, No. 3, 195--209 (2013; Zbl 1325.35120); translation from Funkts. Anal. Prilozh. 47, No. 3, 37--53 (2013) Full Text: DOI
Nazarov, S. A.; Taskinen, J. Structure of the spectrum of a periodic family of identical cells connected by converging apertures. (English. Russian original) Zbl 1304.35458 J. Math. Sci., New York 194, No. 1, 72-82 (2013); translation from Zap. Nauchn. Sem. POMI 409, 130-150 (2012). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 35P20 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{J. Taskinen}, J. Math. Sci., New York 194, No. 1, 72--82 (2013; Zbl 1304.35458); translation from Zap. Nauchn. Sem. POMI 409, 130--150 (2012) Full Text: DOI
Nazarov, S. A. Scheme for interpretation of approximately computed eigenvalues embedded in a continuous spectrum. (Russian, English) Zbl 1299.76235 Zh. Vychisl. Mat. Mat. Fiz. 53, No. 6, 878-897 (2013); translation in Comput. Math. Math. Phys. 53, No. 6, 702-720 (2013). MSC: 76Q05 65L15 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Zh. Vychisl. Mat. Mat. Fiz. 53, No. 6, 878--897 (2013; Zbl 1299.76235); translation in Comput. Math. Math. Phys. 53, No. 6, 702--720 (2013) Full Text: DOI
Bakharev, F. L.; Nazarov, S. A.; Ruotsalainen, K. M. A gap in the spectrum of the Neumann-Laplacian on a periodic waveguide. (English) Zbl 1302.35266 Appl. Anal. 92, No. 9, 1889-1915 (2013). MSC: 35P05 34E05 34E10 76M45 PDFBibTeX XMLCite \textit{F. L. Bakharev} et al., Appl. Anal. 92, No. 9, 1889--1915 (2013; Zbl 1302.35266) Full Text: DOI arXiv
Cardone, Giuseppe; Nazarov, Sergei A.; Ruotsalainen, Keijo Bound states of a converging quantum waveguide. (English) Zbl 1333.35131 ESAIM, Math. Model. Numer. Anal. 47, No. 1, 305-315 (2013). MSC: 35P15 47A75 49R05 PDFBibTeX XMLCite \textit{G. Cardone} et al., ESAIM, Math. Model. Numer. Anal. 47, No. 1, 305--315 (2013; Zbl 1333.35131) Full Text: DOI
Nazarov, S. A. Asymptotics of an eigenvalue on the continuous spectrum of two quantum waveguides coupled through narrow windows. (English. Russian original) Zbl 1511.35248 Math. Notes 93, No. 2, 266-281 (2013); translation from Mat. Zametki 93, No. 2, 227-245 (2013). MSC: 35P20 35B25 35J25 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Math. Notes 93, No. 2, 266--281 (2013; Zbl 1511.35248); translation from Mat. Zametki 93, No. 2, 227--245 (2013) Full Text: DOI
Nazarov, S. A. Asymptotics of eigenfrequencies that arise in gaps caused by a perturbation of a periodic waveguide. (English. Russian summary) Zbl 1398.35039 Dokl. Math. 86, No. 3, 871-875 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 447, No. 4, 382-386 (2012). MSC: 35J25 35B25 35C20 35P05 78A35 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Dokl. Math. 86, No. 3, 871--875 (2012; Zbl 1398.35039); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 447, No. 4, 382--386 (2012) Full Text: DOI
Nazarov, S. A. Enforced stability of an eigenvalue in the continuous spectrum of a waveguide with an obstacle. (Russian, English) Zbl 1249.78029 Zh. Vychisl. Mat. Mat. Fiz. 52, No. 3, 521-538 (2012); translation in Comput. Math. Math. Phys. 52, No. 3, 448-464 (2012). MSC: 78A50 35P15 35J05 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Zh. Vychisl. Mat. Mat. Fiz. 52, No. 3, 521--538 (2012; Zbl 1249.78029); translation in Comput. Math. Math. Phys. 52, No. 3, 448--464 (2012) Full Text: DOI
Nazarov, S. A. Asymptotic formulas for trapped modes and for eigenvalues below the threshold of the continuous spectrum of a waveguide with a thin screening barrier. (English. Russian original) Zbl 1251.35055 St. Petersbg. Math. J. 23, No. 3, 571-601 (2012); translation from Algebra Anal. 23, No. 3, 216-260 (2011). MSC: 35P20 35J05 35B07 35C20 PDFBibTeX XMLCite \textit{S. A. Nazarov}, St. Petersbg. Math. J. 23, No. 3, 571--601 (2012; Zbl 1251.35055); translation from Algebra Anal. 23, No. 3, 216--260 (2011) Full Text: DOI
Cardone, G.; Nazarov, S. A.; Ruotsalainen, K. Asymptotic behaviour of an eigenvalue in the continuous spectrum of a narrowed waveguide. (English. Russian original) Zbl 1238.35071 Sb. Math. 203, No. 2, 153-182 (2012); translation from Mat. Sb. 203, No. 2, 3-32 (2012). MSC: 35P15 35J05 35P25 PDFBibTeX XMLCite \textit{G. Cardone} et al., Sb. Math. 203, No. 2, 153--182 (2012; Zbl 1238.35071); translation from Mat. Sb. 203, No. 2, 3--32 (2012) Full Text: DOI
Nazarov, S. A. On the asymptotics and stability of the point spectrum of a waveguide with thin shielding obstacle. (English. Russian original) Zbl 1304.35457 J. Math. Sci., New York 178, No. 3, 292-312 (2011); translation from Zap. Nauchn. Semin. POMI 385, 98-134 (2010). MSC: 35P20 PDFBibTeX XMLCite \textit{S. A. Nazarov}, J. Math. Sci., New York 178, No. 3, 292--312 (2011; Zbl 1304.35457); translation from Zap. Nauchn. Semin. POMI 385, 98--134 (2010) Full Text: DOI
Nazarov, S. A. Asymptotic expansions of eigenvalues in the continuous spectrum of a regularly perturbed quantum waveguide. (English. Russian original) Zbl 1274.81109 Theor. Math. Phys. 167, No. 2, 606-627 (2011); translation from Teor. Mat. Fiz. 167, No. 2, 239-263 (2011). MSC: 81Q37 81Q05 35C20 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Theor. Math. Phys. 167, No. 2, 606--627 (2011; Zbl 1274.81109); translation from Teor. Mat. Fiz. 167, No. 2, 239--263 (2011) Full Text: DOI
Nazarov, S. A. Localized elastic fields in periodic waveguides with defects. (English. Russian original) Zbl 1272.74342 J. Appl. Mech. Tech. Phys. 52, No. 2, 311-320 (2011); translation from Prikl. Mekh. Tekh. Fiz. 52, No. 2, 183-194 (2011). MSC: 74J10 74R10 PDFBibTeX XMLCite \textit{S. A. Nazarov}, J. Appl. Mech. Tech. Phys. 52, No. 2, 311--320 (2011; Zbl 1272.74342); translation from Prikl. Mekh. Tekh. Fiz. 52, No. 2, 183--194 (2011) Full Text: DOI
Nazarov, S. A. Perturbation of an eigenvalue in the continuous spectrum of a waveguide with an asymmetric obstacle. (English. Russian original) Zbl 1234.35165 Dokl. Math. 84, No. 2, 734-739 (2011); translation from Dokl. Akad. Nauk 440, No. 3, 317-322 (2011). Reviewer: Georg Hebermehl (Berlin) MSC: 35P20 78A50 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Dokl. Math. 84, No. 2, 734--739 (2011; Zbl 1234.35165); translation from Dokl. Akad. Nauk 440, No. 3, 317--322 (2011) Full Text: DOI
Nazarov, S. A. Gap in a continuous spectrum of an elastic waveguide with a partly clamped surface. (English. Russian original) Zbl 1272.74341 J. Appl. Mech. Tech. Phys. 51, No. 1, 114-124 (2010); translation from Prikl. Mekh. Tekh. Fiz. 51, No. 1, 134-146 (2010). MSC: 74J10 PDFBibTeX XMLCite \textit{S. A. Nazarov}, J. Appl. Mech. Tech. Phys. 51, No. 1, 114--124 (2010; Zbl 1272.74341); translation from Prikl. Mekh. Tekh. Fiz. 51, No. 1, 134--146 (2010) Full Text: DOI
Nazarov, S. A. Opening of a gap in the continuous spectrum of a periodically perturbed waveguide. (English. Russian original) Zbl 1291.35143 Math. Notes 87, No. 5, 738-756 (2010); translation from Mat. Zametki 87, No. 5, 764-786 (2010). MSC: 35P05 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Math. Notes 87, No. 5, 738--756 (2010; Zbl 1291.35143); translation from Mat. Zametki 87, No. 5, 764--786 (2010) Full Text: DOI
Nazarov, S. A. Variational and asymptotic methods for finding eigenvalues below the continuous spectrum threshold. (English. Russian original) Zbl 1205.35178 Sib. Math. J. 51, No. 5, 866-878 (2010); translation from Sib. Mat. Zh. 51, No. 5, 1086-1101 (2010). MSC: 35P20 35J05 35A15 35A35 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Sib. Math. J. 51, No. 5, 866--878 (2010; Zbl 1205.35178); translation from Sib. Mat. Zh. 51, No. 5, 1086--1101 (2010) Full Text: DOI
Cardone, Giuseppe; Nazarov, Sergey A.; Perugia, Carmen A gap in the essential spectrum of a cylindrical waveguide with a periodic perturbation of the surface. (English) Zbl 1213.35327 Math. Nachr. 283, No. 9, 1222-1244 (2010). Reviewer: Gianfranco Bottaro (Genova) MSC: 35P05 47A75 49R05 35J05 35J25 PDFBibTeX XMLCite \textit{G. Cardone} et al., Math. Nachr. 283, No. 9, 1222--1244 (2010; Zbl 1213.35327) Full Text: DOI arXiv
Nazarov, Sergey A.; Ruotsalainen, Keijo; Taskinen, Jari Essential spectrum of a periodic elastic waveguide May contain arbitrarily many gaps. (English) Zbl 1186.35123 Appl. Anal. 89, No. 1, 109-124 (2010). MSC: 35P15 35J20 35Q74 74B05 74J05 PDFBibTeX XMLCite \textit{S. A. Nazarov} et al., Appl. Anal. 89, No. 1, 109--124 (2010; Zbl 1186.35123) Full Text: DOI Link
Cardone, C.; Minutolo, V.; Nazarov, S. A. Gaps in the essential spectrum of periodic elastic waveguides. (English) Zbl 1189.35201 ZAMM, Z. Angew. Math. Mech. 89, No. 9, 729-741 (2009). MSC: 35P05 35Q74 74J20 PDFBibTeX XMLCite \textit{C. Cardone} et al., ZAMM, Z. Angew. Math. Mech. 89, No. 9, 729--741 (2009; Zbl 1189.35201) Full Text: DOI
Nazarov, Sergey A. A gap in the continuous spectrum of an elastic waveguide. (English) Zbl 1158.74407 C. R., Méc., Acad. Sci. Paris 336, No. 10, 751-756 (2008). MSC: 74K10 74J05 PDFBibTeX XMLCite \textit{S. A. Nazarov}, C. R., Méc., Acad. Sci. Paris 336, No. 10, 751--756 (2008; Zbl 1158.74407) Full Text: DOI