Borisov, D. I.; Exner, P. Approximation of point interactions by geometric perturbations in two-dimensional domains. (English) Zbl 1522.35029 Bull. Math. Sci. 13, No. 2, Article ID 2250003, 30 p. (2023). MSC: 35B25 35J10 35J25 35P05 81Q15 PDFBibTeX XMLCite \textit{D. I. Borisov} and \textit{P. Exner}, Bull. Math. Sci. 13, No. 2, Article ID 2250003, 30 p. (2023; Zbl 1522.35029) Full Text: DOI arXiv
Borisov, D. I.; Piatnitski, A. L.; Zhizhina, E. A. On the spectrum of convolution operator with a potential. (English) Zbl 1514.81120 J. Math. Anal. Appl. 517, No. 1, Article ID 126568, 27 p. (2023). MSC: 81Q10 42A85 35J10 35P05 PDFBibTeX XMLCite \textit{D. I. Borisov} et al., J. Math. Anal. Appl. 517, No. 1, Article ID 126568, 27 p. (2023; Zbl 1514.81120) Full Text: DOI arXiv
Borisov, D. I. Operator estimates for planar domains with irregularly curved boundary. The Dirichlet and Neumann conditions. (English. Russian original) Zbl 1495.35017 J. Math. Sci., New York 264, No. 5, 562-580 (2022); translation from Probl. Mat. Anal. 116, 69-84 (2022). MSC: 35B27 35J25 47A10 PDFBibTeX XMLCite \textit{D. I. Borisov}, J. Math. Sci., New York 264, No. 5, 562--580 (2022; Zbl 1495.35017); translation from Probl. Mat. Anal. 116, 69--84 (2022) Full Text: DOI
Borisov, D. I. Norm resolvent convergence of elliptic operators in domains with thin spikes. (English. Russian original) Zbl 1486.35021 J. Math. Sci., New York 261, No. 3, 366-392 (2022); translation from Probl. Mat. Anal. 114, 15-23 (2022). MSC: 35B25 35B40 35J25 35P15 PDFBibTeX XMLCite \textit{D. I. Borisov}, J. Math. Sci., New York 261, No. 3, 366--392 (2022; Zbl 1486.35021); translation from Probl. Mat. Anal. 114, 15--23 (2022) Full Text: DOI
Borisov, Denis; Täufer, Matthias; Veselić, Ivan Quantum Hamiltonians with weak random abstract perturbation. II: Localization in the expanded spectrum. (English) Zbl 1460.35240 J. Stat. Phys. 182, No. 1, Paper No. 1, 48 p. (2021). MSC: 35P15 35C20 35J25 60H25 82B44 PDFBibTeX XMLCite \textit{D. Borisov} et al., J. Stat. Phys. 182, No. 1, Paper No. 1, 48 p. (2021; Zbl 1460.35240) Full Text: DOI arXiv
Borisov, D. I.; Cardone, Giuseppe; Chechkin, G. A.; Koroleva, Yu. O. On elliptic operators with Steklov condition perturbed by Dirichlet condition on a small part of boundary. (English) Zbl 1458.35028 Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 48, 45 p. (2021). MSC: 35B25 35J25 35P05 PDFBibTeX XMLCite \textit{D. I. Borisov} et al., Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 48, 45 p. (2021; Zbl 1458.35028) Full Text: DOI
Borisov, D. I. Elliptic operators in multidimensional cylinders with frequently alternating boundary conditions along a given curve. (English. Russian original) Zbl 1437.35032 J. Math. Sci., New York 244, No. 3, 378-389 (2020); translation from Probl. Mat. Anal. 100, 21-30 (2019). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 35J25 35B45 PDFBibTeX XMLCite \textit{D. I. Borisov}, J. Math. Sci., New York 244, No. 3, 378--389 (2020; Zbl 1437.35032); translation from Probl. Mat. Anal. 100, 21--30 (2019) Full Text: DOI
Borisov, D. I. Creation of spectral bands for a periodic domain with small windows. (English) Zbl 1342.81143 Russ. J. Math. Phys. 23, No. 1, 19-34 (2016). MSC: 81Q35 PDFBibTeX XMLCite \textit{D. I. Borisov}, Russ. J. Math. Phys. 23, No. 1, 19--34 (2016; Zbl 1342.81143) Full Text: DOI arXiv
Borisov, D. I. Perturbation of threshold of essential spectrum for waveguides with windows. I: Decreasing resonance solutions. (English. Russian original) Zbl 1325.35119 J. Math. Sci., New York 205, No. 2, 141-181 (2015); translation from Probl. Mat. Anal. 77, 19-54 (2014). Reviewer: Michael Perelmuter (Kyïv) MSC: 35P05 81Q10 47N50 PDFBibTeX XMLCite \textit{D. I. Borisov}, J. Math. Sci., New York 205, No. 2, 141--181 (2015; Zbl 1325.35119); translation from Probl. Mat. Anal. 77, 19--54 (2014) Full Text: DOI
Borisov, D. I.; Pankrashkin, K. V. Gap opening and split band edges in waveguides coupled by a periodic system of small windows. (English. Russian original) Zbl 1288.81046 Math. Notes 93, No. 5, 660-675 (2013); translation from Mat. Zametki 93, No. 5, 665-683 (2013). Reviewer: Mihai Pascu (Bucureşti) MSC: 81Q37 47A10 35J25 35P99 82D77 PDFBibTeX XMLCite \textit{D. I. Borisov} and \textit{K. V. Pankrashkin}, Math. Notes 93, No. 5, 660--675 (2013; Zbl 1288.81046); translation from Mat. Zametki 93, No. 5, 665--683 (2013) Full Text: DOI arXiv
Borisov, Denis; Bunoiu, Renata; Cardone, Giuseppe Waveguide with non-periodically alternating Dirichlet and Robin conditions: Homogenization and asymptotics. (English) Zbl 1282.35033 Z. Angew. Math. Phys. 64, No. 3, 439-472 (2013). Reviewer: Vincent Lescarret (Gif-sur-Yvette) MSC: 35B27 35J15 35P05 PDFBibTeX XMLCite \textit{D. Borisov} et al., Z. Angew. Math. Phys. 64, No. 3, 439--472 (2013; Zbl 1282.35033) Full Text: DOI arXiv
Borisov, D. I.; Freitas, P. Eigenvalue asymptotics for almost flat compact hypersurfaces. (English. Russian original) Zbl 1247.58009 Dokl. Math. 85, No. 1, 18-22 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 442, No. 2, 151-155 (2012). Reviewer: Sönke Hansen (Paderborn) MSC: 58C40 35P15 47A55 PDFBibTeX XMLCite \textit{D. I. Borisov} and \textit{P. Freitas}, Dokl. Math. 85, No. 1, 18--22 (2012; Zbl 1247.58009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 442, No. 2, 151--155 (2012) Full Text: DOI
Borisov, D.; Bunoiu, R.; Cardone, G. Homogenization and asymptotics for a waveguide with an infinite number of closely located small windows. (English. Russian original) Zbl 1290.81038 J. Math. Sci., New York 176, No. 6, 774-785 (2011); translation from Probl. Mat. Anal. 58, 59-68 (2011). MSC: 81Q37 PDFBibTeX XMLCite \textit{D. Borisov} et al., J. Math. Sci., New York 176, No. 6, 774--785 (2011; Zbl 1290.81038); translation from Probl. Mat. Anal. 58, 59--68 (2011) Full Text: DOI
Borisov, Denis; Cardone, Giuseppe Planar waveguide with ”twisted” boundary conditions: Discrete spectrum. (English) Zbl 1273.81100 J. Math. Phys. 52, No. 12, 123513, 24 p. (2011). MSC: 81Q37 81Q10 35J15 35J25 30K05 PDFBibTeX XMLCite \textit{D. Borisov} and \textit{G. Cardone}, J. Math. Phys. 52, No. 12, 123513, 24 p. (2011; Zbl 1273.81100) Full Text: DOI arXiv
Borisov, Denis; Bunoiu, Renata; Cardone, Giuseppe On a waveguide with frequently alternating boundary conditions: homogenized Neumann condition. (English) Zbl 1210.82077 Ann. Henri Poincaré 11, No. 8, 1591-1627 (2010). MSC: 82D77 81Q37 PDFBibTeX XMLCite \textit{D. Borisov} et al., Ann. Henri Poincaré 11, No. 8, 1591--1627 (2010; Zbl 1210.82077) Full Text: DOI arXiv
Borisov, D. Asymptotics for the solutions of elliptic systems with rapidly oscillating coefficients. (English. Russian original) Zbl 1206.35029 St. Petersbg. Math. J. 20, No. 2, 175-191 (2009); translation from Algebra Anal. 20, No. 2, 19-42 (2008). MSC: 35B27 35Q74 47F05 74G10 PDFBibTeX XMLCite \textit{D. Borisov}, St. Petersbg. Math. J. 20, No. 2, 175--191 (2009; Zbl 1206.35029); translation from Algebra Anal. 20, No. 2, 19--42 (2008) Full Text: DOI arXiv
Borisov, D.; Exner, P. Distant perturbation asymptotics in window-coupled waveguides. I: The nonthreshold case. (English) Zbl 1112.81043 J. Math. Phys. 47, No. 11, 113502, 24 p. (2006). MSC: 81Q99 PDFBibTeX XMLCite \textit{D. Borisov} and \textit{P. Exner}, J. Math. Phys. 47, No. 11, 113502, 24 p. (2006; Zbl 1112.81043) Full Text: DOI arXiv