Nagy, Ákos; Rayan, Steven On the hyperbolic Bloch transform. (English) Zbl 07812082 Ann. Henri Poincaré 25, No. 3, 1713-1732 (2024). MSC: 35Q40 42B37 43A30 43A85 74E15 81Q35 81R60 20H10 PDFBibTeX XMLCite \textit{Á. Nagy} and \textit{S. Rayan}, Ann. Henri Poincaré 25, No. 3, 1713--1732 (2024; Zbl 07812082) Full Text: DOI arXiv
Maresin, Innocenti; Sergeev, Armen; Teplyakov, Egor On mathematical aspects of the theory of topological insulators. (English) Zbl 07790981 Acta Math. Sin., Engl. Ser. 40, No. 1, 81-106 (2024). MSC: 82D20 82D55 82B20 81V70 81V74 15A66 55R45 35Q55 PDFBibTeX XMLCite \textit{I. Maresin} et al., Acta Math. Sin., Engl. Ser. 40, No. 1, 81--106 (2024; Zbl 07790981) Full Text: DOI
McKenzie, Theo; Sabri, Mostafa Quantum ergodicity for periodic graphs. (English) Zbl 07751295 Commun. Math. Phys. 403, No. 3, 1477-1509 (2023). MSC: 81Q15 35Q41 39A12 32A18 81Q35 35P15 82D80 PDFBibTeX XMLCite \textit{T. McKenzie} and \textit{M. Sabri}, Commun. Math. Phys. 403, No. 3, 1477--1509 (2023; Zbl 07751295) Full Text: DOI arXiv
Ayouch, Chahid; Tilioua, Mouhcine Local existence and uniqueness of regular solutions to a Landau-Lifshitz-Bloch equation with applied current. (English) Zbl 1518.35578 J. Appl. Anal. 29, No. 1, 113-122 (2023). MSC: 35Q60 35K61 35R15 35B65 82D40 PDFBibTeX XMLCite \textit{C. Ayouch} and \textit{M. Tilioua}, J. Appl. Anal. 29, No. 1, 113--122 (2023; Zbl 1518.35578) Full Text: DOI
Lai, Lemin; Luo, Shunlong Steerability criteria based on Heisenberg-Weyl observables. (English) Zbl 1520.81021 J. Phys. A, Math. Theor. 56, No. 11, Article ID 115305, 18 p. (2023). MSC: 81P40 35R03 60G35 81P16 81P45 30H30 PDFBibTeX XMLCite \textit{L. Lai} and \textit{S. Luo}, J. Phys. A, Math. Theor. 56, No. 11, Article ID 115305, 18 p. (2023; Zbl 1520.81021) Full Text: DOI
Berkolaiko, Gregory; Canzani, Yaiza; Cox, Graham; Marzuola, Jeremy Louis A local test for global extrema in the dispersion relation of a periodic graph. (English) Zbl 1505.35312 Pure Appl. Anal. 4, No. 2, 257-286 (2022). Reviewer: Thierry Jecko (Cergy-Pontoise) MSC: 35Q40 81Q10 81Q35 PDFBibTeX XMLCite \textit{G. Berkolaiko} et al., Pure Appl. Anal. 4, No. 2, 257--286 (2022; Zbl 1505.35312) Full Text: DOI arXiv
Fillman, Jake; Liu, Wencai; Matos, Rodrigo Irreducibility of the Bloch variety for finite-range Schrödinger operators. (English) Zbl 1507.81093 J. Funct. Anal. 283, No. 10, Article ID 109670, 22 p. (2022). MSC: 81Q10 35J10 30H30 33E15 39A23 52B20 PDFBibTeX XMLCite \textit{J. Fillman} et al., J. Funct. Anal. 283, No. 10, Article ID 109670, 22 p. (2022; Zbl 1507.81093) Full Text: DOI arXiv
Chabu, Victor; Fermanian Kammerer, Clotilde; Macià, Fabricio Effective mass theorems with Bloch modes crossings. (English) Zbl 1502.81032 Arch. Ration. Mech. Anal. 245, No. 3, 1339-1400 (2022). MSC: 81Q10 35Q55 82D25 81Q05 81V10 81Q35 65M55 46E35 30H30 PDFBibTeX XMLCite \textit{V. Chabu} et al., Arch. Ration. Mech. Anal. 245, No. 3, 1339--1400 (2022; Zbl 1502.81032) Full Text: DOI arXiv
Ayouch, C.; Benmouane, M.; Essoufi, E. H. Regular solution for the compressible Landau-Lifshitz-Bloch equation in a bounded domain of \(\mathbb{R}^3\). (English) Zbl 1491.82022 J. Elliptic Parabol. Equ. 8, No. 1, 419-441 (2022). MSC: 82D40 35Q60 35R15 35K20 PDFBibTeX XMLCite \textit{C. Ayouch} et al., J. Elliptic Parabol. Equ. 8, No. 1, 419--441 (2022; Zbl 1491.82022) Full Text: DOI
Wang, Xin; Li, Jina; Wang, Lei; Kang, Jingfeng Dark-dark solitons, soliton molecules and elastic collisions in the mixed three-level coupled Maxwell-Bloch equations. (English) Zbl 1486.83084 Phys. Lett., A 432, Article ID 128023, 15 p. (2022). MSC: 83C56 35C08 81V55 83C22 32A18 83C30 83C15 35Q05 70F35 PDFBibTeX XMLCite \textit{X. Wang} et al., Phys. Lett., A 432, Article ID 128023, 15 p. (2022; Zbl 1486.83084) Full Text: DOI
Su, Qile David Quasi-classical rules for qubit spin-rotation error suppression. (English) Zbl 1523.81048 Eur. J. Phys. 42, No. 3, Article ID 035407, 27 p. (2021). MSC: 81P68 81P65 30H30 35B20 81Q93 81P73 81Q20 81P40 PDFBibTeX XMLCite \textit{Q. D. Su}, Eur. J. Phys. 42, No. 3, Article ID 035407, 27 p. (2021; Zbl 1523.81048) Full Text: DOI arXiv
Hishikawa, Yôsuke; Nishio, Masaharu; Shimomura, Katsunori; Yamada, Masahiro Function spaces induced by two parabolic Bloch spaces. (English) Zbl 1482.35250 Hiroshima Math. J. 51, No. 3, 247-265 (2021). MSC: 35R11 35K05 26A33 30H30 PDFBibTeX XMLCite \textit{Y. Hishikawa} et al., Hiroshima Math. J. 51, No. 3, 247--265 (2021; Zbl 1482.35250) Full Text: DOI Link
Berkolaiko, Gregory; Kha, Minh Degenerate band edges in periodic quantum graphs. (English) Zbl 1456.81194 Lett. Math. Phys. 110, No. 11, 2965-2982 (2020). MSC: 81Q35 34B45 05C50 34L05 35J05 35P15 81U30 PDFBibTeX XMLCite \textit{G. Berkolaiko} and \textit{M. Kha}, Lett. Math. Phys. 110, No. 11, 2965--2982 (2020; Zbl 1456.81194) Full Text: DOI arXiv
Brzeźniak, Zdzislaw; Goldys, Beniamin; Le, Kim Ngan Existence of a unique solution and invariant measures for the stochastic Landau-Lifshitz-Bloch equation. (English) Zbl 1448.35493 J. Differ. Equations 269, No. 11, 9471-9507 (2020). MSC: 35Q60 35K59 35R15 60H15 35R60 35D35 78A25 PDFBibTeX XMLCite \textit{Z. Brzeźniak} et al., J. Differ. Equations 269, No. 11, 9471--9507 (2020; Zbl 1448.35493) Full Text: DOI arXiv
Maier, Daniela Construction of breather solutions for nonlinear Klein-Gordon equations on periodic metric graphs. (English) Zbl 1439.35336 J. Differ. Equations 268, No. 6, 2491-2509 (2020). MSC: 35L71 35L15 35R02 PDFBibTeX XMLCite \textit{D. Maier}, J. Differ. Equations 268, No. 6, 2491--2509 (2020; Zbl 1439.35336) Full Text: DOI arXiv
Konschin, Alexander; Lechleiter, Armin Reconstruction of a local perturbation in inhomogeneous periodic layers from partial near field measurements. (English) Zbl 1441.35263 Inverse Probl. 35, No. 11, Article ID 114006, 29 p. (2019). Reviewer: Bernd Hofmann (Chemnitz) MSC: 35R30 35P25 47J06 65J20 PDFBibTeX XMLCite \textit{A. Konschin} and \textit{A. Lechleiter}, Inverse Probl. 35, No. 11, Article ID 114006, 29 p. (2019; Zbl 1441.35263) Full Text: DOI arXiv
Chirilus-Bruckner, Martina; Maier, Daniela; Schneider, Guido Diffusive stability for periodic metric graphs. (English) Zbl 1423.35179 Math. Nachr. 292, No. 6, 1246-1259 (2019). Reviewer: Vincenzo Vespri (Firenze) MSC: 35K55 35B35 35B40 35R02 PDFBibTeX XMLCite \textit{M. Chirilus-Bruckner} et al., Math. Nachr. 292, No. 6, 1246--1259 (2019; Zbl 1423.35179) Full Text: DOI Link
Hishikawa, Yôsuke; Nishio, Masaharu; Yamada, Masahiro A system of conjugate functions on parabolic Bloch spaces. (English) Zbl 1429.35200 J. Math. Soc. Japan 70, No. 3, 1085-1102 (2018). Reviewer: Raymond Johnson (Columbia) MSC: 35R11 26A33 30H30 42B99 PDFBibTeX XMLCite \textit{Y. Hishikawa} et al., J. Math. Soc. Japan 70, No. 3, 1085--1102 (2018; Zbl 1429.35200) Full Text: DOI
Lechleiter, Armin The Floquet-Bloch transform and scattering from locally perturbed periodic surfaces. (English) Zbl 1354.35018 J. Math. Anal. Appl. 446, No. 1, 605-627 (2017). MSC: 35J05 46E35 35P25 PDFBibTeX XMLCite \textit{A. Lechleiter}, J. Math. Anal. Appl. 446, No. 1, 605--627 (2017; Zbl 1354.35018) Full Text: DOI arXiv
Gilg, Steffen; Pelinovsky, Dmitry; Schneider, Guido Validity of the NLS approximation for periodic quantum graphs. (English) Zbl 1367.35156 NoDEA, Nonlinear Differ. Equ. Appl. 23, No. 6, Paper No. 63, 30 p. (2016). MSC: 35Q55 35R02 35Q41 35P30 35A01 35A02 PDFBibTeX XMLCite \textit{S. Gilg} et al., NoDEA, Nonlinear Differ. Equ. Appl. 23, No. 6, Paper No. 63, 30 p. (2016; Zbl 1367.35156) Full Text: DOI
Le, Kim Ngan Weak solutions of the Landau-Lifshitz-Bloch equation. (English) Zbl 1351.82114 J. Differ. Equations 261, No. 12, 6699-6717 (2016). MSC: 82D40 35K59 35R15 35D30 35Q60 35B65 PDFBibTeX XMLCite \textit{K. N. Le}, J. Differ. Equations 261, No. 12, 6699--6717 (2016; Zbl 1351.82114) Full Text: DOI arXiv
Zhikov, V. V.; Pastukhova, S. E. Bloch principle for elliptic differential operators with periodic coefficients. (English) Zbl 1351.35026 Russ. J. Math. Phys. 23, No. 2, 257-277 (2016). MSC: 35J05 46E35 PDFBibTeX XMLCite \textit{V. V. Zhikov} and \textit{S. E. Pastukhova}, Russ. J. Math. Phys. 23, No. 2, 257--277 (2016; Zbl 1351.35026) Full Text: DOI
Chen, Shaolin; Ponnusamy, Saminathan; Rasila, Antti On characterizations of Bloch-type, Hardy-type and Lipschitz-type spaces. (English) Zbl 1314.30116 Math. Z. 279, No. 1-2, 163-183 (2015). Reviewer: Evgueni Doubtsov (St. Petersburg) MSC: 30H30 30H10 31A05 35J99 PDFBibTeX XMLCite \textit{S. Chen} et al., Math. Z. 279, No. 1--2, 163--183 (2015; Zbl 1314.30116) Full Text: DOI arXiv
Rueckriemen, Ralf Recovering quantum graphs from their Bloch spectrum. (English. French summary) Zbl 1301.35195 Ann. Inst. Fourier 63, No. 3, 1149-1176 (2013). Reviewer: Adam Skalski (Warszawa) MSC: 35R02 35R30 58J53 81Q10 PDFBibTeX XMLCite \textit{R. Rueckriemen}, Ann. Inst. Fourier 63, No. 3, 1149--1176 (2013; Zbl 1301.35195) Full Text: DOI arXiv Link
Hishikawa, Yôsuke; Nishio, Masaharu; Yamada, Masahiro Conjugate functions on spaces of parabolic Bloch type. (English) Zbl 1327.35405 J. Math. Soc. Japan 65, No. 2, 487-520 (2013). Reviewer: Evgueni Doubtsov (St. Petersburg) MSC: 35R11 31B05 42B35 42B37 PDFBibTeX XMLCite \textit{Y. Hishikawa} et al., J. Math. Soc. Japan 65, No. 2, 487--520 (2013; Zbl 1327.35405) Full Text: DOI Euclid
Cardone, G.; Pastukhova, S. E.; Perugia, C. Estimates in homogenization of degenerate elliptic equations by spectral method. (English) Zbl 1270.35060 Asymptotic Anal. 81, No. 3-4, 189-209 (2013). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 35J70 PDFBibTeX XMLCite \textit{G. Cardone} et al., Asymptotic Anal. 81, No. 3--4, 189--209 (2013; Zbl 1270.35060) Full Text: DOI
Hishikawa, Yôsuke; Yamada, Masahiro Function spaces of parabolic Bloch type. (English) Zbl 1233.35199 Hiroshima Math. J. 41, No. 1, 55-87 (2011). Reviewer: Juan J. Trujillo (La Laguna) MSC: 35R11 35K05 31B10 32A18 34A08 46E99 PDFBibTeX XMLCite \textit{Y. Hishikawa} and \textit{M. Yamada}, Hiroshima Math. J. 41, No. 1, 55--87 (2011; Zbl 1233.35199)
Hishikawa, Yôsuke The reproducing formula with fractional orders on the parabolic Bloch space. (English) Zbl 1213.35399 J. Math. Soc. Japan 62, No. 4, 1219-1255 (2010). Reviewer: Juan J. Trujillo (La Laguna) MSC: 35R11 35K05 26A33 26D10 PDFBibTeX XMLCite \textit{Y. Hishikawa}, J. Math. Soc. Japan 62, No. 4, 1219--1255 (2010; Zbl 1213.35399) Full Text: DOI
Grushin, V. V. Multiparameter perturbation theory of Fredholm operators applied to Bloch functions. (English. Russian original) Zbl 1197.47025 Math. Notes 86, No. 6, 767-774 (2009); translation from Mat. Zametki 86, No. 6, 819-828 (2009). Reviewer: Michael Perelmuter (Kyïv) MSC: 47A55 47A53 30D45 46E20 47F05 35J10 PDFBibTeX XMLCite \textit{V. V. Grushin}, Math. Notes 86, No. 6, 767--774 (2009; Zbl 1197.47025); translation from Mat. Zametki 86, No. 6, 819--828 (2009) Full Text: DOI
Conca, Carlos; Friz, Luis; Ortega, Jaime H. Direct integral decomposition for periodic function spaces and application to Bloch waves. (English) Zbl 1156.35313 Netw. Heterog. Media 3, No. 3, 555-566 (2008). MSC: 35B27 46A35 35Q30 34B27 47A70 PDFBibTeX XMLCite \textit{C. Conca} et al., Netw. Heterog. Media 3, No. 3, 555--566 (2008; Zbl 1156.35313) Full Text: DOI
Bidégaray, Brigitte On the Cauchy problem for some systems occurring in nonlinear optics. (English) Zbl 0949.35007 Adv. Differ. Equ. 3, No. 3, 473-496 (1998). MSC: 35A07 35G25 45K05 78A10 37N20 35Q60 35R10 PDFBibTeX XMLCite \textit{B. Bidégaray}, Adv. Differ. Equ. 3, No. 3, 473--496 (1998; Zbl 0949.35007)
Steudel, Heinz Second-order resonant systems in optics and surfaces in \(\mathbb{R}^3\). (English) Zbl 0926.35147 Wójcik, Daniel (ed.) et al., Proceedings of the first non-orthodox school on nonlinearity and geometry, Luigi Bianchi days, Warsaw, Poland, September 21–28, 1995. Warszawa: Polish Scientific Publishers PWN. 221-224 (1998). MSC: 35Q60 53A05 PDFBibTeX XMLCite \textit{H. Steudel}, in: Proceedings of the first non-orthodox school on nonlinearity and geometry, Luigi Bianchi days, Warsaw, Poland, September 21--28, 1995. Warszawa: Polish Scientific Publishers PWN. 221--224 (1998; Zbl 0926.35147)
Alber, Mark S.; Luther, Gregory G.; Marsden, Jerrold E. Energy dependent Schrödinger operators and complex Hamiltonian systems on Riemann surfaces. (English) Zbl 0906.35082 Nonlinearity 10, No. 1, 223-241 (1997). MSC: 35Q40 37J35 37K10 70H99 76B15 PDFBibTeX XMLCite \textit{M. S. Alber} et al., Nonlinearity 10, No. 1, 223--241 (1997; Zbl 0906.35082) Full Text: DOI Link
Knörrer, H.; Trubowitz, E. A directional compactification of the complex Bloch variety. (English) Zbl 0723.32006 Comment. Math. Helv. 65, No. 1, 114-149 (1990). Reviewer: A.Yu.Rashkovsky (Khar’kov) MSC: 32C25 58J50 32J05 32C05 35J05 35P99 PDFBibTeX XMLCite \textit{H. Knörrer} and \textit{E. Trubowitz}, Comment. Math. Helv. 65, No. 1, 114--149 (1990; Zbl 0723.32006) Full Text: DOI EuDML