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
Nazarov, S. A. Waves in a plane rectangular lattice of thin elastic waveguides. (English. Russian original) Zbl 1450.74020 J. Math. Sci., New York 242, No. 2, 227-279 (2019); translation from Probl. Mat. Anal. 99, 47-88 (2019). Reviewer: Panagiotis Koumantos (Athína) MSC: 74J20 74B05 35Q74 35P15 PDFBibTeX XMLCite \textit{S. A. Nazarov}, J. Math. Sci., New York 242, No. 2, 227--279 (2019; Zbl 1450.74020); translation from Probl. Mat. Anal. 99, 47--88 (2019) Full Text: DOI
Kozlov, V. A.; Nazarov, S. A. Model of a saccular aneurysm of the bifurcation node of an artery. (English. Russian original) Zbl 1421.35387 J. Math. Sci., New York 238, No. 5, 676-688 (2019); translation from Zap. Nauchn. Semin. POMI 461, 174-194 (2017). MSC: 35Q92 92C35 76Z05 35R30 35B32 PDFBibTeX XMLCite \textit{V. A. Kozlov} and \textit{S. A. Nazarov}, J. Math. Sci., New York 238, No. 5, 676--688 (2019; Zbl 1421.35387); translation from Zap. Nauchn. Semin. POMI 461, 174--194 (2017) Full Text: DOI
Bakharev, F. L.; Matveenko, S. G.; Nazarov, S. A. Rectangular lattices of cylindrical quantum waveguides. I: Spectral problems on a finite cross. (English. Russian original) Zbl 1390.81186 St. Petersbg. Math. J. 29, No. 3, 423-437 (2018); translation from Algebra Anal. 29, No. 3, 1-22 (2017). MSC: 81Q37 PDFBibTeX XMLCite \textit{F. L. Bakharev} et al., St. Petersbg. Math. J. 29, No. 3, 423--437 (2018; Zbl 1390.81186); translation from Algebra Anal. 29, No. 3, 1--22 (2017) 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
Nazarov, S. A. Transmission conditions in one-dimensional model of a rectangular lattice of thin quantum waveguides. (English. Russian original) Zbl 1365.81059 J. Math. Sci., New York 219, No. 6, 994-1015 (2016); translation from Probl. Mat. Anal. 87, 153-172 (2016). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 81Q37 82B20 35J05 82D77 35C20 PDFBibTeX XMLCite \textit{S. A. Nazarov}, J. Math. Sci., New York 219, No. 6, 994--1015 (2016; Zbl 1365.81059); translation from Probl. Mat. Anal. 87, 153--172 (2016) Full Text: DOI
Nazarov, S. A. Structure of the spectrum of a net of quantum waveguides and bounded solutions of a model problem at the threshold. (English. Russian original) Zbl 1307.81041 Dokl. Math. 90, No. 2, 637-641 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 6, 636-640 (2014). MSC: 81Q35 81Q37 81Q10 82D77 35P05 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Dokl. Math. 90, No. 2, 637--641 (2014; Zbl 1307.81041); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 6, 636--640 (2014) Full Text: DOI
Nazarov, S. A. Bounded solutions in a \(t\)-shaped waveguide and the spectral properties of the Dirichlet ladder. (Russian, English) Zbl 1313.78038 Zh. Vychisl. Mat. Mat. Fiz. 54, No. 8, 1299-1318 (2014); translation in Comput. Math. Math. Phys. 54, No. 8, 1261-1279 (2014). MSC: 78A50 81V80 PDFBibTeX XMLCite \textit{S. A. Nazarov}, Zh. Vychisl. Mat. Mat. Fiz. 54, No. 8, 1299--1318 (2014; Zbl 1313.78038); translation in Comput. Math. Math. Phys. 54, No. 8, 1261--1279 (2014) Full Text: DOI Link