Mao, Weifeng; Zhang, Jian Existence and stability of ground states for the Hartree equation with a magnetic field. (English) Zbl 07815397 Discrete Contin. Dyn. Syst., Ser. B 29, No. 5, 2213-2226 (2024). MSC: 35Q55 35Q41 35Q40 81V73 35B38 35B35 35A01 35A02 PDFBibTeX XMLCite \textit{W. Mao} and \textit{J. Zhang}, Discrete Contin. Dyn. Syst., Ser. B 29, No. 5, 2213--2226 (2024; Zbl 07815397) Full Text: DOI
Balmaseda, Aitor; Lonigro, Davide; Pérez-Pardo, Juan Manuel On global approximate controllability of a quantum particle in a box by moving walls. (English) Zbl 07814425 SIAM J. Control Optim. 62, No. 2, 826-852 (2024). MSC: 81Q93 35Q41 35R37 35J10 PDFBibTeX XMLCite \textit{A. Balmaseda} et al., SIAM J. Control Optim. 62, No. 2, 826--852 (2024; Zbl 07814425) Full Text: DOI arXiv
Li, Xinfu; Xu, Li; Zhu, Meiling Multiplicity and stability of normalized solutions to non-autonomous Schrödinger equation with mixed non-linearities. (English) Zbl 07811751 Proc. Edinb. Math. Soc., II. Ser. 67, No. 1, 1-27 (2024). MSC: 35J10 35Q55 35A01 35A15 PDFBibTeX XMLCite \textit{X. Li} et al., Proc. Edinb. Math. Soc., II. Ser. 67, No. 1, 1--27 (2024; Zbl 07811751) Full Text: DOI arXiv
Pozzoli, Eugenio Small-time global approximate controllability of bilinear wave equations. (English) Zbl 07808373 J. Differ. Equations 388, 421-438 (2024). Reviewer: Kaïs Ammari (Monastir) MSC: 35L71 35L20 93C10 93C20 93B05 93B27 PDFBibTeX XMLCite \textit{E. Pozzoli}, J. Differ. Equations 388, 421--438 (2024; Zbl 07808373) Full Text: DOI arXiv
Bournissou, Mégane Small-time local controllability of the bilinear Schrödinger equation with a nonlinear competition. (English) Zbl 07798860 ESAIM, Control Optim. Calc. Var. 30, Paper No. 2, 38 p. (2024). MSC: 93B05 93C20 35Q55 81Q93 PDFBibTeX XMLCite \textit{M. Bournissou}, ESAIM, Control Optim. Calc. Var. 30, Paper No. 2, 38 p. (2024; Zbl 07798860) Full Text: DOI
Qi, Shijie; Zou, Wenming Normalized solutions of nonhomogeneous mass supercritical Schrödinger equations in bounded domains. (English) Zbl 07788039 J. Geom. Anal. 34, No. 2, Paper No. 59, 30 p. (2024). MSC: 35J61 35Q55 35A01 35B40 PDFBibTeX XMLCite \textit{S. Qi} and \textit{W. Zou}, J. Geom. Anal. 34, No. 2, Paper No. 59, 30 p. (2024; Zbl 07788039) Full Text: DOI
Gao, Liu; Tan, Zhong Normalized solutions for two classes of Kirchhoff problems with exponential critical growth. (English) Zbl 07785597 Bull. Malays. Math. Sci. Soc. (2) 47, No. 1, Paper No. 7, 31 p. (2024). MSC: 35J62 35A01 PDFBibTeX XMLCite \textit{L. Gao} and \textit{Z. Tan}, Bull. Malays. Math. Sci. Soc. (2) 47, No. 1, Paper No. 7, 31 p. (2024; Zbl 07785597) Full Text: DOI
Cacciafesta, Federico; de Suzzoni, Anne-Sophie; Meng, Long; Sok, Jérémy Large time well-posedness for a Dirac-Klein-Gordon system. (English) Zbl 07784786 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 239, Article ID 113420, 33 p. (2024). MSC: 35Q41 35Q40 35B20 81V45 81Q05 81R20 81Q15 35A01 35A02 PDFBibTeX XMLCite \textit{F. Cacciafesta} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 239, Article ID 113420, 33 p. (2024; Zbl 07784786) Full Text: DOI arXiv
Danesi, Elena Strichartz estimates for the 2D and 3D massless Dirac-Coulomb equations and applications. (English) Zbl 07784463 J. Funct. Anal. 286, No. 3, Article ID 110251, 38 p. (2024). MSC: 35Q41 35B45 35A01 35A02 PDFBibTeX XMLCite \textit{E. Danesi}, J. Funct. Anal. 286, No. 3, Article ID 110251, 38 p. (2024; Zbl 07784463) Full Text: DOI arXiv
Faupin, Jérémy; Frantz, Nicolas Spectral decomposition of some non-self-adjoint operators. (Décomposition spectrale D’Opérateurs non auto-adjoints.) (English. French summary) Zbl 07814464 Ann. Henri Lebesgue 6, 1115-1167 (2023). MSC: 47A10 47A60 47A65 47B28 81Q12 81U24 PDFBibTeX XMLCite \textit{J. Faupin} and \textit{N. Frantz}, Ann. Henri Lebesgue 6, 1115--1167 (2023; Zbl 07814464) Full Text: DOI arXiv
Carles, Rémi; Il’yasov, Yavdat On ground states for the 2D Schrödinger equation with combined nonlinearities and harmonic potential. (English) Zbl 07778761 Stud. Appl. Math. 150, No. 1, 92-118 (2023). MSC: 35Q55 35Q41 35B35 35A01 35A02 PDFBibTeX XMLCite \textit{R. Carles} and \textit{Y. Il'yasov}, Stud. Appl. Math. 150, No. 1, 92--118 (2023; Zbl 07778761) Full Text: DOI arXiv OA License
Boussaïd, Nabile; Cacciapuoti, Claudio; Carlone, Raffaele; Comech, Andrew; Noja, Diego; Posilicano, Andrea Spectral stability and instability of solitary waves of the Dirac equation with concentrated nonlinearity. (English) Zbl 1527.35043 Commun. Pure Appl. Anal. 22, No. 10, 3029-3067 (2023). MSC: 35B35 35C08 35P05 35Q41 PDFBibTeX XMLCite \textit{N. Boussaïd} et al., Commun. Pure Appl. Anal. 22, No. 10, 3029--3067 (2023; Zbl 1527.35043) Full Text: DOI arXiv
Qi, Shijie; Zou, Wenming Mass threshold of the limit behavior of normalized solutions to Schrödinger equations with combined nonlinearities. (English) Zbl 1525.35087 J. Differ. Equations 375, 172-205 (2023). MSC: 35J10 35J61 35B09 35A01 PDFBibTeX XMLCite \textit{S. Qi} and \textit{W. Zou}, J. Differ. Equations 375, 172--205 (2023; Zbl 1525.35087) Full Text: DOI
Wei, Juncheng; Wu, Yuanze On some nonlinear Schrödinger equations in \(\mathbb{R}^N\). (English) Zbl 1522.35180 Proc. R. Soc. Edinb., Sect. A, Math. 153, No. 5, 1503-1528 (2023). MSC: 35J10 35J61 35Q55 35B33 35A01 PDFBibTeX XMLCite \textit{J. Wei} and \textit{Y. Wu}, Proc. R. Soc. Edinb., Sect. A, Math. 153, No. 5, 1503--1528 (2023; Zbl 1522.35180) Full Text: DOI
Baskin, Dean; Booth, Robert; Gell-Redman, Jesse Asymptotics of the radiation field for the massless Dirac-Coulomb system. (English) Zbl 1521.35030 J. Funct. Anal. 285, No. 9, Article ID 110107, 62 p. (2023). MSC: 35B40 35C20 35Q41 PDFBibTeX XMLCite \textit{D. Baskin} et al., J. Funct. Anal. 285, No. 9, Article ID 110107, 62 p. (2023; Zbl 1521.35030) Full Text: DOI arXiv
Guo, Yujin; Li, Yan; Liu, Qiang; Lu, Lu Ground states of attractive Bose gases near the critical rotating velocity. (English) Zbl 1522.35426 Calc. Var. Partial Differ. Equ. 62, No. 7, Paper No. 210, 31 p. (2023). MSC: 35Q40 81V70 82D05 35J60 46N50 35A15 35B44 35R09 PDFBibTeX XMLCite \textit{Y. Guo} et al., Calc. Var. Partial Differ. Equ. 62, No. 7, Paper No. 210, 31 p. (2023; Zbl 1522.35426) Full Text: DOI
Balmaseda, Aitor; Lonigro, Davide; Pérez-Pardo, Juan Manuel Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions. (English) Zbl 07717016 J. Phys. A, Math. Theor. 56, No. 32, Article ID 325201, 36 p. (2023). MSC: 81Q93 26E15 30E25 70H03 35J05 05C12 PDFBibTeX XMLCite \textit{A. Balmaseda} et al., J. Phys. A, Math. Theor. 56, No. 32, Article ID 325201, 36 p. (2023; Zbl 07717016) Full Text: DOI arXiv
Cassano, Biagio; Lotoreichik, Vladimir; Mas, Albert; Tušek, Matěj General \(\delta\)-shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation. (English) Zbl 1528.81132 Rev. Mat. Iberoam. 39, No. 4, 1443-1492 (2023). MSC: 81Q10 81Q37 47N20 47N50 47B25 52B22 31A25 30C20 PDFBibTeX XMLCite \textit{B. Cassano} et al., Rev. Mat. Iberoam. 39, No. 4, 1443--1492 (2023; Zbl 1528.81132) Full Text: DOI arXiv
Baskin, Dean; Wunsch, Jared Diffraction for the Dirac-Coulomb propagator. (English) Zbl 1525.58015 Ann. Henri Poincaré 24, No. 8, 2607-2659 (2023). Reviewer: Tatuana Badokina (Saransk) MSC: 58K45 58J47 PDFBibTeX XMLCite \textit{D. Baskin} and \textit{J. Wunsch}, Ann. Henri Poincaré 24, No. 8, 2607--2659 (2023; Zbl 1525.58015) Full Text: DOI arXiv
Chambrion, Thomas; Pozzoli, Eugenio Small-time bilinear control of Schrödinger equations with application to rotating linear molecules. (English) Zbl 1518.93017 Automatica 153, Article ID 111028, 7 p. (2023). MSC: 93B05 93C20 35Q55 93B27 PDFBibTeX XMLCite \textit{T. Chambrion} and \textit{E. Pozzoli}, Automatica 153, Article ID 111028, 7 p. (2023; Zbl 1518.93017) Full Text: DOI arXiv
Cacciafesta, Federico; Séré, Éric; Zhang, Junyong Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications. (English) Zbl 1515.35227 Commun. Partial Differ. Equations 48, No. 3, 355-385 (2023). MSC: 35Q41 PDFBibTeX XMLCite \textit{F. Cacciafesta} et al., Commun. Partial Differ. Equations 48, No. 3, 355--385 (2023; Zbl 1515.35227) Full Text: DOI arXiv
Aldunate, Danko; Ricaud, Julien; Stockmeyer, Edgardo; Van Den Bosch, Hanne Results on the spectral stability of standing wave solutions of the Soler model in 1-D. (English) Zbl 1522.35428 Commun. Math. Phys. 401, No. 1, 227-273 (2023). MSC: 35Q41 35B32 35B35 35P15 PDFBibTeX XMLCite \textit{D. Aldunate} et al., Commun. Math. Phys. 401, No. 1, 227--273 (2023; Zbl 1522.35428) Full Text: DOI arXiv
Zuo, Jiabin; Liu, Chungen; Vetro, Calogero Normalized solutions to the fractional Schrödinger equation with potential. (English) Zbl 1517.35252 Mediterr. J. Math. 20, No. 4, Paper No. 216, 12 p. (2023). MSC: 35R11 35J10 35J20 35J61 PDFBibTeX XMLCite \textit{J. Zuo} et al., Mediterr. J. Math. 20, No. 4, Paper No. 216, 12 p. (2023; Zbl 1517.35252) Full Text: DOI
Bournissou, Mégane Local controllability of the bilinear 1D Schrödinger equation with simultaneous estimates. (English) Zbl 1518.93016 Math. Control Relat. Fields 13, No. 3, 1047-1080 (2023). MSC: 93B05 93C20 81Q93 35Q55 PDFBibTeX XMLCite \textit{M. Bournissou}, Math. Control Relat. Fields 13, No. 3, 1047--1080 (2023; Zbl 1518.93016) Full Text: DOI arXiv
Ardila, Alex H.; Hajaiej, Hichem Global well-posedness, blow-up and stability of standing waves for supercritical NLS with rotation. (English) Zbl 1515.35238 J. Dyn. Differ. Equations 35, No. 2, 1643-1665 (2023). MSC: 35Q55 35Q41 35B44 37K45 35P25 35B35 35A01 35A02 PDFBibTeX XMLCite \textit{A. H. Ardila} and \textit{H. Hajaiej}, J. Dyn. Differ. Equations 35, No. 2, 1643--1665 (2023; Zbl 1515.35238) Full Text: DOI arXiv
Hong, Younghun; Jin, Sangdon On the nonlinear Schrödinger equation with a toroidal-shaped trap in the strong confinement regime. (English) Zbl 1515.35250 Nonlinearity 36, No. 5, 2741-2791 (2023). Reviewer: Rémi Carles (Rennes) MSC: 35Q55 35Q41 35Q40 35C08 35B35 35A02 49M41 82C10 PDFBibTeX XMLCite \textit{Y. Hong} and \textit{S. Jin}, Nonlinearity 36, No. 5, 2741--2791 (2023; Zbl 1515.35250) Full Text: DOI arXiv
Wang, Cheng-lin; Zhang, Jian Sharp condition for global existence of supercritical nonlinear Schrödinger equation with a partial confinement. (English) Zbl 1512.35554 Acta Math. Appl. Sin., Engl. Ser. 39, No. 1, 202-210 (2023). MSC: 35Q55 35Q41 35A15 35B30 35B44 35A01 49M41 82C10 PDFBibTeX XMLCite \textit{C.-l. Wang} and \textit{J. Zhang}, Acta Math. Appl. Sin., Engl. Ser. 39, No. 1, 202--210 (2023; Zbl 1512.35554) Full Text: DOI
Wang, Chao; Sun, Juntao Normalized solutions for the \(p\)-Laplacian equation with a trapping potential. (English) Zbl 1512.35208 Adv. Nonlinear Anal. 12, Article ID 20220291, 14 p. (2023). MSC: 35J20 35J92 35A01 PDFBibTeX XMLCite \textit{C. Wang} and \textit{J. Sun}, Adv. Nonlinear Anal. 12, Article ID 20220291, 14 p. (2023; Zbl 1512.35208) Full Text: DOI
Dirr, Gunther Compactness of fixed point maps and the Ball-Marsden-Slemrod conjecture. (English) Zbl 1512.93021 SIAM J. Control Optim. 61, No. 2, 560-585 (2023). MSC: 93B05 93B03 93C10 93C25 46B50 47H10 PDFBibTeX XMLCite \textit{G. Dirr}, SIAM J. Control Optim. 61, No. 2, 560--585 (2023; Zbl 1512.93021) Full Text: DOI arXiv
Basharat, Nyla; Hajaiej, Hichem; Hu, Yi; Zheng, Shijun Threshold for blowup and stability for nonlinear Schrödinger equation with rotation. (English) Zbl 1512.35529 Ann. Henri Poincaré 24, No. 4, 1377-1416 (2023). MSC: 35Q55 35Q41 37K45 35P25 35B44 35B35 35A15 35B33 35A01 35A02 82C10 PDFBibTeX XMLCite \textit{N. Basharat} et al., Ann. Henri Poincaré 24, No. 4, 1377--1416 (2023; Zbl 1512.35529) Full Text: DOI arXiv
Ji, Chao; Su, Neng Existence and stability of standing waves for the mixed dispersion nonlinear Schrödinger equation with a partial confinement in \(\mathbb{R}^N\). (English) Zbl 1514.35152 J. Geom. Anal. 33, No. 6, Paper No. 171, 25 p. (2023). MSC: 35J30 35A01 35B35 PDFBibTeX XMLCite \textit{C. Ji} and \textit{N. Su}, J. Geom. Anal. 33, No. 6, Paper No. 171, 25 p. (2023; Zbl 1514.35152) Full Text: DOI
Dovetta, Simone; Serra, Enrico; Tilli, Paolo Action versus energy ground states in nonlinear Schrödinger equations. (English) Zbl 1518.35573 Math. Ann. 385, No. 3-4, 1545-1576 (2023). Reviewer: Xiaoming He (Beijing) MSC: 35Q55 49J40 58E30 35B38 35A15 35R01 PDFBibTeX XMLCite \textit{S. Dovetta} et al., Math. Ann. 385, No. 3--4, 1545--1576 (2023; Zbl 1518.35573) Full Text: DOI arXiv
Gallistl, Dietmar; Olkhovskiy, Vladislav Computational lower bounds of the Maxwell eigenvalues. (English) Zbl 1518.35581 SIAM J. Numer. Anal. 61, No. 2, 539-561 (2023). MSC: 35Q61 65N30 65N25 65N12 65N15 44A10 78M10 PDFBibTeX XMLCite \textit{D. Gallistl} and \textit{V. Olkhovskiy}, SIAM J. Numer. Anal. 61, No. 2, 539--561 (2023; Zbl 1518.35581) Full Text: DOI arXiv
Bournissou, Mégane Quadratic behaviors of the 1D linear Schrödinger equation with bilinear control. (English) Zbl 1505.93022 J. Differ. Equations 351, 324-360 (2023). MSC: 93B05 93C20 35Q41 81Q93 PDFBibTeX XMLCite \textit{M. Bournissou}, J. Differ. Equations 351, 324--360 (2023; Zbl 1505.93022) Full Text: DOI arXiv
Yao, Shuai; Chen, Haibo; Sun, Juntao Two normalized solutions for the Chern-Simons-Schrödinger system with exponential critical growth. (English) Zbl 1511.35148 J. Geom. Anal. 33, No. 3, Paper No. 91, 26 p. (2023). MSC: 35J47 35A01 35A15 PDFBibTeX XMLCite \textit{S. Yao} et al., J. Geom. Anal. 33, No. 3, Paper No. 91, 26 p. (2023; Zbl 1511.35148) Full Text: DOI
Bögli, S.; Ferraresso, F.; Marletta, M.; Tretter, C. Spectral analysis and domain truncation for Maxwell’s equations. (English. French summary) Zbl 1511.35339 J. Math. Pures Appl. (9) 170, 96-135 (2023). Reviewer: Eric Stachura (Marietta) MSC: 35Q61 35P05 35P15 47A10 47A58 78A25 PDFBibTeX XMLCite \textit{S. Bögli} et al., J. Math. Pures Appl. (9) 170, 96--135 (2023; Zbl 1511.35339) Full Text: DOI arXiv
Andrievsky, Boris; Orlov, Yury; Fradkov, Alexander L. On robustness of the speed-gradient sampled-data energy control for the sine-Gordon equation: the simpler the better. (English) Zbl 1505.93145 Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106901, 13 p. (2023). MSC: 93C57 93C20 93B35 93C10 PDFBibTeX XMLCite \textit{B. Andrievsky} et al., Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106901, 13 p. (2023; Zbl 1505.93145) Full Text: DOI
Cao, Daomin; Feng, Binhua; Luo, Tingjian On the standing waves for the X-ray free electron laser Schrödinger equation. (English) Zbl 1505.35178 Discrete Contin. Dyn. Syst. 42, No. 12, 6097-6137 (2022). MSC: 35J61 35Q55 35A15 PDFBibTeX XMLCite \textit{D. Cao} et al., Discrete Contin. Dyn. Syst. 42, No. 12, 6097--6137 (2022; Zbl 1505.35178) Full Text: DOI arXiv
He, Zhiqian; Feng, Binhua; Liu, Jiayin Existence, stability and asymptotic behaviour of normalized solutions for the Davey-Stewartson system. (English) Zbl 1505.35182 Discrete Contin. Dyn. Syst. 42, No. 12, 5937-5966 (2022). MSC: 35J61 35A01 35J20 35B35 35B40 PDFBibTeX XMLCite \textit{Z. He} et al., Discrete Contin. Dyn. Syst. 42, No. 12, 5937--5966 (2022; Zbl 1505.35182) Full Text: DOI
Pozzoli, E.; Leibscher, M.; Sigalotti, M.; Boscain, U.; Koch, C. P. Lie algebra for rotational subsystems of a driven asymmetric top. (English) Zbl 1506.81040 J. Phys. A, Math. Theor. 55, No. 21, Article ID 215301, 16 p. (2022). MSC: 81Q93 17B81 81R12 PDFBibTeX XMLCite \textit{E. Pozzoli} et al., J. Phys. A, Math. Theor. 55, No. 21, Article ID 215301, 16 p. (2022; Zbl 1506.81040) Full Text: DOI arXiv
Wang, Chenglin; Zhang, Jian Cross-constrained variational method and nonlinear Schrödinger equation with partial confinement. (English) Zbl 1495.35160 Math. Control Relat. Fields 12, No. 3, 611-619 (2022). MSC: 35Q55 35A15 35B30 PDFBibTeX XMLCite \textit{C. Wang} and \textit{J. Zhang}, Math. Control Relat. Fields 12, No. 3, 611--619 (2022; Zbl 1495.35160) Full Text: DOI
Maeda, Masaya Asymptotic stability of small bound state of nonlinear quantum walks. (English) Zbl 1507.81196 Physica D 439, Article ID 133408, 14 p. (2022). MSC: 81V45 60G50 35B35 35B32 35P15 81U05 PDFBibTeX XMLCite \textit{M. Maeda}, Physica D 439, Article ID 133408, 14 p. (2022; Zbl 1507.81196) Full Text: DOI arXiv
Cossetti, Lucrezia Bounds on eigenvalues of perturbed Lamé operators with complex potentials. (English) Zbl 1511.81049 Math. Eng. (Springfield) 4, No. 5, Paper No. 37, 29 p. (2022). MSC: 81Q12 35P15 81Q10 PDFBibTeX XMLCite \textit{L. Cossetti}, Math. Eng. (Springfield) 4, No. 5, Paper No. 37, 29 p. (2022; Zbl 1511.81049) Full Text: DOI arXiv
Ding, Yanheng; Zhong, Xuexiu Normalized solution to the Schrödinger equation with potential and general nonlinear term: mass super-critical case. (English) Zbl 1496.35357 J. Differ. Equations 334, 194-215 (2022). MSC: 35Q55 35Q51 35B09 35B32 35B40 35C08 PDFBibTeX XMLCite \textit{Y. Ding} and \textit{X. Zhong}, J. Differ. Equations 334, 194--215 (2022; Zbl 1496.35357) Full Text: DOI arXiv
Jeanjean, Louis; Jendrej, Jacek; Le, Thanh Trung; Visciglia, Nicola Orbital stability of ground states for a Sobolev critical Schrödinger equation. (English. French summary) Zbl 07555977 J. Math. Pures Appl. (9) 164, 158-179 (2022). MSC: 35Q55 35B38 35B35 35A01 PDFBibTeX XMLCite \textit{L. Jeanjean} et al., J. Math. Pures Appl. (9) 164, 158--179 (2022; Zbl 07555977) Full Text: DOI arXiv
Molle, Riccardo; Riey, Giuseppe; Verzini, Gianmaria Normalized solutions to mass supercritical Schrödinger equations with negative potential. (English) Zbl 1496.35181 J. Differ. Equations 333, 302-331 (2022). MSC: 35J10 35J61 35A01 PDFBibTeX XMLCite \textit{R. Molle} et al., J. Differ. Equations 333, 302--331 (2022; Zbl 1496.35181) Full Text: DOI arXiv
Dinh, Van Duong Existence and stability of standing waves for nonlinear Schrödinger equations with a critical rotational speed. (English) Zbl 1492.35304 Lett. Math. Phys. 112, No. 3, Paper No. 53, 36 p. (2022). MSC: 35Q55 35A01 35B35 78A37 82C10 PDFBibTeX XMLCite \textit{V. D. Dinh}, Lett. Math. Phys. 112, No. 3, Paper No. 53, 36 p. (2022; Zbl 1492.35304) Full Text: DOI arXiv
Yang, Ruize; Xing, Yulong Energy conserving discontinuous Galerkin method with scalar auxiliary variable technique for the nonlinear Dirac equation. (English) Zbl 07536777 J. Comput. Phys. 463, Article ID 111278, 22 p. (2022). MSC: 65Mxx 35Qxx 35Lxx PDFBibTeX XMLCite \textit{R. Yang} and \textit{Y. Xing}, J. Comput. Phys. 463, Article ID 111278, 22 p. (2022; Zbl 07536777) Full Text: DOI
Hong, Younghun; Jin, Sangdon Orbital stability for the mass-critical and supercritical pseudo-relativistic nonlinear Schrödinger equation. (English) Zbl 1491.35149 Discrete Contin. Dyn. Syst. 42, No. 7, 3103-3118 (2022). MSC: 35J10 35Q55 35J61 35A02 PDFBibTeX XMLCite \textit{Y. Hong} and \textit{S. Jin}, Discrete Contin. Dyn. Syst. 42, No. 7, 3103--3118 (2022; Zbl 1491.35149) Full Text: DOI arXiv
Ben-Artzi, Jonathan; Cacciafesta, Federico; De Suzzoni, Anne-Sophie; Zhang, Junyong Global Strichartz estimates for the Dirac equation on symmetric spaces. (English) Zbl 1489.35221 Forum Math. Sigma 10, Paper No. e25, 38 p. (2022). MSC: 35Q41 42B37 PDFBibTeX XMLCite \textit{J. Ben-Artzi} et al., Forum Math. Sigma 10, Paper No. e25, 38 p. (2022; Zbl 1489.35221) Full Text: DOI arXiv
Comech, Andrew On solutions with compact spectrum to nonlinear Klein-Gordon and Schrödinger equations. (English) Zbl 1486.35017 SIAM J. Math. Anal. 54, No. 2, 2128-2141 (2022). MSC: 35B10 35C08 35B40 35B41 35L71 35Q41 35Q55 37K40 81Q05 PDFBibTeX XMLCite \textit{A. Comech}, SIAM J. Math. Anal. 54, No. 2, 2128--2141 (2022; Zbl 1486.35017) Full Text: DOI arXiv
Alves, Claudianor O.; Ji, Chao Normalized solutions for the Schrödinger equations with \(L^2\)-subcritical growth and different types of potentials. (English) Zbl 1490.35388 J. Geom. Anal. 32, No. 5, Paper No. 165, 25 p. (2022). MSC: 35Q55 35J60 35J20 35A15 35A01 49M41 PDFBibTeX XMLCite \textit{C. O. Alves} and \textit{C. Ji}, J. Geom. Anal. 32, No. 5, Paper No. 165, 25 p. (2022; Zbl 1490.35388) Full Text: DOI
Boussaid, Nabile; Comech, Andrew Limiting absorption principle and virtual levels of operators in Banach spaces. (English. French summary) Zbl 1485.35300 Ann. Math. Qué. 46, No. 1, 161-180 (2022). MSC: 35P05 47A40 47B01 78A45 PDFBibTeX XMLCite \textit{N. Boussaid} and \textit{A. Comech}, Ann. Math. Qué. 46, No. 1, 161--180 (2022; Zbl 1485.35300) Full Text: DOI arXiv
Cassano, Biagio Sharp exponential decay for solutions of the stationary perturbed Dirac equation. (English) Zbl 1491.35370 Commun. Contemp. Math. 24, No. 2, Article ID 2050078, 24 p. (2022). MSC: 35Q41 35Q40 35B60 35B20 PDFBibTeX XMLCite \textit{B. Cassano}, Commun. Contemp. Math. 24, No. 2, Article ID 2050078, 24 p. (2022; Zbl 1491.35370) Full Text: DOI arXiv
Pozzoli, Eugenio Classical and quantum controllability of a rotating asymmetric molecule. (English) Zbl 1485.93077 Appl. Math. Optim. 85, No. 1, 1-27 (2022). MSC: 93B05 81Q93 81V55 93C20 35J10 PDFBibTeX XMLCite \textit{E. Pozzoli}, Appl. Math. Optim. 85, No. 1, 1--27 (2022; Zbl 1485.93077) Full Text: DOI arXiv
Fu, Yaoyao; Cao, Liqun The Crank-Nicolson Galerkin method and convergence for the time-dependent Maxwell-Dirac system under the Lorentz gauge. (English) Zbl 1482.78011 J. Comput. Appl. Math. 407, Article ID 114007, 20 p. (2022). MSC: 78M10 78M20 65N30 65M60 65M06 65M15 82D55 82D80 35Q60 PDFBibTeX XMLCite \textit{Y. Fu} and \textit{L. Cao}, J. Comput. Appl. Math. 407, Article ID 114007, 20 p. (2022; Zbl 1482.78011) Full Text: DOI
Behrndt, Jussi; ter Elst, A. F. M.; Gesztesy, Fritz The generalized Birman-Schwinger principle. (English) Zbl 07462172 Trans. Am. Math. Soc. 375, No. 2, 799-845 (2022). Reviewer: Davide Buoso (Alessandria) MSC: 47A53 47A56 47A10 47B07 47B12 PDFBibTeX XMLCite \textit{J. Behrndt} et al., Trans. Am. Math. Soc. 375, No. 2, 799--845 (2022; Zbl 07462172) Full Text: DOI arXiv
Dinh, Van Duong Remarks on nonlinear Schrödinger equations arising on rotational Bose-Einstein condensates. (English) Zbl 1479.35774 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112587, 37 p. (2022). Reviewer: Johanna Michor (Wien) MSC: 35Q55 35A01 35B44 PDFBibTeX XMLCite \textit{V. D. Dinh}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112587, 37 p. (2022; Zbl 1479.35774) Full Text: DOI
Liu, Jiayin; He, Zhiqian; Feng, Binhua Existence and stability of standing waves for the inhomogeneous Gross-Pitaevskii equation with a partial confinement. (English) Zbl 1489.35255 J. Math. Anal. Appl. 506, No. 1, Article ID 125604, 20 p. (2022). MSC: 35Q55 35B35 35B44 35A15 35J61 35A01 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Math. Anal. Appl. 506, No. 1, Article ID 125604, 20 p. (2022; Zbl 1489.35255) Full Text: DOI
Asahara, Keisuke; Funakawa, Daiju; Seki, Motoki; Tanaka, Yohei An index theorem for one-dimensional gapless non-unitary quantum walks. (English) Zbl 1514.47020 Quantum Inf. Process. 20, No. 9, Paper No. 287, 26 p. (2021). MSC: 47A53 81Q10 81T35 PDFBibTeX XMLCite \textit{K. Asahara} et al., Quantum Inf. Process. 20, No. 9, Paper No. 287, 26 p. (2021; Zbl 1514.47020) Full Text: DOI
Erdoğan, M. Burak; Goldberg, Michael; Green, William R. The massless Dirac equation in two dimensions: zero-energy obstructions and dispersive estimates. (English) Zbl 1491.35374 J. Spectr. Theory 11, No. 3, 935-979 (2021). MSC: 35Q41 35L40 47A10 35P99 35B34 PDFBibTeX XMLCite \textit{M. B. Erdoğan} et al., J. Spectr. Theory 11, No. 3, 935--979 (2021; Zbl 1491.35374) Full Text: DOI arXiv
Dinh, Van Duong On the instability of standing waves for 3D dipolar Bose-Einstein condensates. (English) Zbl 1508.35144 Physica D 419, Article ID 132856, 12 p. (2021). MSC: 35Q55 35Q41 82D05 82C10 35B44 35B35 PDFBibTeX XMLCite \textit{V. D. Dinh}, Physica D 419, Article ID 132856, 12 p. (2021; Zbl 1508.35144) Full Text: DOI
Duca, Alessandro Controllability of bilinear quantum systems in explicit times via explicit control fields. (English) Zbl 1477.35202 Int. J. Control 94, No. 3, 724-734 (2021). MSC: 35Q41 93C20 93B05 PDFBibTeX XMLCite \textit{A. Duca}, Int. J. Control 94, No. 3, 724--734 (2021; Zbl 1477.35202) Full Text: DOI arXiv
Ammari, Kaïs; Duca, Alessandro Controllability of localised quantum states on infinite graphs through bilinear control fields. (English) Zbl 1512.93015 Int. J. Control 94, No. 7, 1824-1837 (2021). MSC: 93B05 81Q93 93C20 35Q40 35J10 81P99 PDFBibTeX XMLCite \textit{K. Ammari} and \textit{A. Duca}, Int. J. Control 94, No. 7, 1824--1837 (2021; Zbl 1512.93015) Full Text: DOI arXiv HAL
Cannarsa, Daniele; Sigalotti, Mario Approximately controllable finite-dimensional bilinear systems are controllable. (English) Zbl 1485.93060 Syst. Control Lett. 157, Article ID 105028, 6 p. (2021). Reviewer: Jin Liang (Shanghai) MSC: 93B05 93C10 PDFBibTeX XMLCite \textit{D. Cannarsa} and \textit{M. Sigalotti}, Syst. Control Lett. 157, Article ID 105028, 6 p. (2021; Zbl 1485.93060) Full Text: DOI arXiv
Cuccagna, Scipio; Maeda, Masaya A survey on asymptotic stability of ground states of nonlinear Schrödinger equations. II. (English) Zbl 1475.35313 Discrete Contin. Dyn. Syst., Ser. S 14, No. 5, 1693-1716 (2021). MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{M. Maeda}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 5, 1693--1716 (2021; Zbl 1475.35313) Full Text: DOI arXiv
Carles, Rémi; Ferriere, Guillaume Logarithmic Schrödinger equation with quadratic potential. (English) Zbl 1477.35233 Nonlinearity 34, No. 12, 8283-8310 (2021). MSC: 35Q55 35B40 35C08 37K40 81Q05 PDFBibTeX XMLCite \textit{R. Carles} and \textit{G. Ferriere}, Nonlinearity 34, No. 12, 8283--8310 (2021; Zbl 1477.35233) Full Text: DOI arXiv
Feng, Binhua; Wang, Qingxuan Strong instability of standing waves for the nonlinear Schrödinger equation in trapped dipolar quantum gases. (English) Zbl 1504.35475 J. Dyn. Differ. Equations 33, No. 4, 1989-2008 (2021). Reviewer: Ivan Naumkin (Nice) MSC: 35Q55 35B44 35A02 82D05 PDFBibTeX XMLCite \textit{B. Feng} and \textit{Q. Wang}, J. Dyn. Differ. Equations 33, No. 4, 1989--2008 (2021; Zbl 1504.35475) Full Text: DOI
Comech, Andrew; Kopylova, Elena Orbital stability and spectral properties of solitary waves of Klein-Gordon equation with concentrated nonlinearity. (English) Zbl 1478.35080 Commun. Pure Appl. Anal. 20, No. 6, 2187-2209 (2021). MSC: 35C08 35B35 35L15 35L71 PDFBibTeX XMLCite \textit{A. Comech} and \textit{E. Kopylova}, Commun. Pure Appl. Anal. 20, No. 6, 2187--2209 (2021; Zbl 1478.35080) Full Text: DOI
Han, Huan; Li, Fanghui; Luo, Tingjian; Wang, Zhengping Ground state for the X-ray free electron laser Schrödinger equation with harmonic potential. (English) Zbl 1508.35012 Appl. Math. Comput. 401, Article ID 126113, 11 p. (2021). MSC: 35J20 35J60 PDFBibTeX XMLCite \textit{H. Han} et al., Appl. Math. Comput. 401, Article ID 126113, 11 p. (2021; Zbl 1508.35012) Full Text: DOI
Dinh, van Duong On nonlinear Schrödinger equations with attractive inverse-power potentials. (English) Zbl 1477.35237 Topol. Methods Nonlinear Anal. 57, No. 2, 489-523 (2021). MSC: 35Q55 35A15 35J35 35B44 35B35 35A01 35A02 PDFBibTeX XMLCite \textit{v. D. Dinh}, Topol. Methods Nonlinear Anal. 57, No. 2, 489--523 (2021; Zbl 1477.35237) Full Text: DOI arXiv
Luo, Xiao; Yang, Tao Multiplicity, asymptotics and stability of standing waves for nonlinear Schrödinger equation with rotation. (English) Zbl 1479.35810 J. Differ. Equations 304, 326-347 (2021). MSC: 35Q55 35A15 35B35 35B40 35B38 35B44 82B10 PDFBibTeX XMLCite \textit{X. Luo} and \textit{T. Yang}, J. Differ. Equations 304, 326--347 (2021; Zbl 1479.35810) Full Text: DOI arXiv
Ben-Artzi, Matania; Umeda, Tomio Spectral theory of first-order systems: from crystals to Dirac operators. (English) Zbl 1471.35249 Rev. Math. Phys. 33, No. 5, Article ID 2150014, 52 p. (2021). MSC: 35Q41 35Q61 35Q40 PDFBibTeX XMLCite \textit{M. Ben-Artzi} and \textit{T. Umeda}, Rev. Math. Phys. 33, No. 5, Article ID 2150014, 52 p. (2021; Zbl 1471.35249) Full Text: DOI arXiv
Xia, Mingtao; Shao, Sihong; Chou, Tom Efficient scaling and moving techniques for spectral methods in unbounded domains. (English) Zbl 1484.65277 SIAM J. Sci. Comput. 43, No. 5, A3244-A3268 (2021). MSC: 65M70 65F35 65M50 33C45 41A05 65M12 65M15 35C08 35B44 PDFBibTeX XMLCite \textit{M. Xia} et al., SIAM J. Sci. Comput. 43, No. 5, A3244--A3268 (2021; Zbl 1484.65277) Full Text: DOI arXiv
Lampart, Jonas A remark on the attainable set of the Schrödinger equation. (English) Zbl 1473.35610 Evol. Equ. Control Theory 10, No. 3, 461-469 (2021). MSC: 35Q93 35Q41 PDFBibTeX XMLCite \textit{J. Lampart}, Evol. Equ. Control Theory 10, No. 3, 461--469 (2021; Zbl 1473.35610) Full Text: DOI arXiv
Cassano, Biagio; Cossetti, Lucrezia; Fanelli, Luca Eigenvalue bounds and spectral stability of Lamé operators with complex potentials. (English) Zbl 1470.35244 J. Differ. Equations 298, 528-559 (2021). MSC: 35P15 35J57 74B05 PDFBibTeX XMLCite \textit{B. Cassano} et al., J. Differ. Equations 298, 528--559 (2021; Zbl 1470.35244) Full Text: DOI arXiv
Nakamura, Shu; Tadano, Yukihide On a continuum limit of discrete Schrödinger operators on square lattice. (English) Zbl 1487.47027 J. Spectr. Theory 11, No. 1, 355-367 (2021). MSC: 47A58 47A10 47B39 47A25 PDFBibTeX XMLCite \textit{S. Nakamura} and \textit{Y. Tadano}, J. Spectr. Theory 11, No. 1, 355--367 (2021; Zbl 1487.47027) Full Text: DOI arXiv
Jia, Huifang; Luo, Xiao Standing waves with prescribed mass for the coupled Hartree-Fock system with partial confinement. (English) Zbl 1468.35049 Ann. Mat. Pura Appl. (4) 200, No. 4, 1487-1516 (2021). MSC: 35J20 35J47 35J61 PDFBibTeX XMLCite \textit{H. Jia} and \textit{X. Luo}, Ann. Mat. Pura Appl. (4) 200, No. 4, 1487--1516 (2021; Zbl 1468.35049) Full Text: DOI
Erdoğan, M. Burak; Green, William R. On the one dimensional Dirac equation with potential. (English. French summary) Zbl 1472.35322 J. Math. Pures Appl. (9) 151, 132-170 (2021). MSC: 35Q41 35B40 35B05 35B45 35A01 35L40 81Q10 PDFBibTeX XMLCite \textit{M. B. Erdoğan} and \textit{W. R. Green}, J. Math. Pures Appl. (9) 151, 132--170 (2021; Zbl 1472.35322) Full Text: DOI arXiv
Luo, Yongming; Stylianou, Athanasios On 3d dipolar Bose-Einstein condensates involving quantum fluctuations and three-body interactions. (English) Zbl 1471.35259 Discrete Contin. Dyn. Syst., Ser. B 26, No. 6, 3455-3477 (2021). MSC: 35Q55 49J35 35B09 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Luo} and \textit{A. Stylianou}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 6, 3455--3477 (2021; Zbl 1471.35259) Full Text: DOI arXiv
Banjai, Lehel; Boulton, Lyonell Computation of sharp estimates of the Poincaré constant on planar domains with piecewise self-similar boundary. (English) Zbl 1476.65286 J. Fractal Geom. 8, No. 2, 153-188 (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65N25 PDFBibTeX XMLCite \textit{L. Banjai} and \textit{L. Boulton}, J. Fractal Geom. 8, No. 2, 153--188 (2021; Zbl 1476.65286) Full Text: DOI arXiv
Pierotti, Dario; Soave, Nicola; Verzini, Gianmaria Local minimizers in absence of ground states for the critical NLS energy on metric graphs. (English) Zbl 1464.35329 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 2, 705-733 (2021). MSC: 35Q55 35R02 81Q35 49J40 35B33 35A01 PDFBibTeX XMLCite \textit{D. Pierotti} et al., Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 2, 705--733 (2021; Zbl 1464.35329) Full Text: DOI arXiv
Luo, Xiao; Yang, Tao Stable solitary waves for pseudo-relativistic Hartree equations with short range potential. (English) Zbl 1467.35319 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 207, Article ID 112275, 13 p. (2021). MSC: 35Q85 85A15 35Q40 35A15 35B35 35B40 35C08 PDFBibTeX XMLCite \textit{X. Luo} and \textit{T. Yang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 207, Article ID 112275, 13 p. (2021; Zbl 1467.35319) Full Text: DOI
Duca, Alessandro Bilinear quantum systems on compact graphs: well-posedness and global exact controllability. (English) Zbl 1461.93033 Automatica 123, Article ID 109324, 13 p. (2021). MSC: 93B05 93B70 81Q93 PDFBibTeX XMLCite \textit{A. Duca}, Automatica 123, Article ID 109324, 13 p. (2021; Zbl 1461.93033) Full Text: DOI arXiv
Feng, Binhua; Cao, Leijin; Liu, Jiayin Existence of stable standing waves for the Lee-Huang-Yang corrected dipolar Gross-Pitaevskii equation. (English) Zbl 1460.35153 Appl. Math. Lett. 115, Article ID 106952, 8 p. (2021). MSC: 35J61 35Q55 35A01 PDFBibTeX XMLCite \textit{B. Feng} et al., Appl. Math. Lett. 115, Article ID 106952, 8 p. (2021; Zbl 1460.35153) Full Text: DOI
Luo, Yongming; Stylianou, Athanasios Ground states for a nonlocal mixed order cubic-quartic Gross-Pitaevskii equation. (English) Zbl 1462.35362 J. Math. Anal. Appl. 496, No. 1, Article ID 124802, 21 p. (2021). MSC: 35Q55 35B09 PDFBibTeX XMLCite \textit{Y. Luo} and \textit{A. Stylianou}, J. Math. Anal. Appl. 496, No. 1, Article ID 124802, 21 p. (2021; Zbl 1462.35362) Full Text: DOI arXiv
Comech, Andrew; Cuccagna, Scipio On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations. (English) Zbl 1460.35321 Discrete Contin. Dyn. Syst. 41, No. 3, 1225-1270 (2021). MSC: 35Q55 35B35 35B40 35C08 35Q41 37K40 PDFBibTeX XMLCite \textit{A. Comech} and \textit{S. Cuccagna}, Discrete Contin. Dyn. Syst. 41, No. 3, 1225--1270 (2021; Zbl 1460.35321) Full Text: DOI arXiv
Borrelli, William; Carlone, Raffaele; Tentarelli, Lorenzo On the nonlinear Dirac equation on noncompact metric graphs. (English) Zbl 1457.35045 J. Differ. Equations 278, 326-357 (2021). MSC: 35Q41 35Q55 35B25 35R02 81Q35 47J07 58E07 47A10 PDFBibTeX XMLCite \textit{W. Borrelli} et al., J. Differ. Equations 278, 326--357 (2021; Zbl 1457.35045) Full Text: DOI arXiv
Pellacci, Benedetta; Pistoia, Angela; Vaira, Giusi; Verzini, Gianmaria Normalized concentrating solutions to nonlinear elliptic problems. (English) Zbl 1455.35119 J. Differ. Equations 275, 882-919 (2021). MSC: 35J91 35B09 35A01 PDFBibTeX XMLCite \textit{B. Pellacci} et al., J. Differ. Equations 275, 882--919 (2021; Zbl 1455.35119) Full Text: DOI arXiv
Duca, Alessandro; Joly, Romain; Turaev, Dmitry Permuting quantum eigenmodes by a quasi-adiabatic motion of a potential wall. (English) Zbl 1454.81061 J. Math. Phys. 61, No. 10, 101511, 15 p. (2020). MSC: 81Q05 35Q41 35P05 81Q93 PDFBibTeX XMLCite \textit{A. Duca} et al., J. Math. Phys. 61, No. 10, 101511, 15 p. (2020; Zbl 1454.81061) Full Text: DOI arXiv
Ammari, Kaïs; Duca, Alessandro Controllability of periodic bilinear quantum systems on infinite graphs. (English) Zbl 1454.81100 J. Math. Phys. 61, No. 10, 101507, 15 p. (2020). MSC: 81Q93 81Q35 81Q05 35G16 49K40 05C63 PDFBibTeX XMLCite \textit{K. Ammari} and \textit{A. Duca}, J. Math. Phys. 61, No. 10, 101507, 15 p. (2020; Zbl 1454.81100) Full Text: DOI arXiv
Duca, Alessandro Global exact controllability of bilinear quantum systems on compact graphs and energetic controllability. (English) Zbl 1470.35296 SIAM J. Control Optim. 58, No. 6, 3092-3129 (2020). MSC: 35Q41 93C20 93B05 81Q15 PDFBibTeX XMLCite \textit{A. Duca}, SIAM J. Control Optim. 58, No. 6, 3092--3129 (2020; Zbl 1470.35296) Full Text: DOI arXiv
Jeanjean, Louis; Lu, Sheng-Sen A mass supercritical problem revisited. (English) Zbl 1453.35087 Calc. Var. Partial Differ. Equ. 59, No. 5, Paper No. 174, 42 p. (2020). Reviewer: Marius Ghergu (Dublin) MSC: 35J60 35Q55 PDFBibTeX XMLCite \textit{L. Jeanjean} and \textit{S.-S. Lu}, Calc. Var. Partial Differ. Equ. 59, No. 5, Paper No. 174, 42 p. (2020; Zbl 1453.35087) Full Text: DOI arXiv
Xiao, Lu; Geng, Qiuping; Wang, Jun; Zhu, Maochun Existence and stability of standing waves for the Choquard equation with partial confinement. (English) Zbl 1448.35211 Topol. Methods Nonlinear Anal. 55, No. 2, 451-474 (2020). MSC: 35J61 35J20 35Q55 49J40 PDFBibTeX XMLCite \textit{L. Xiao} et al., Topol. Methods Nonlinear Anal. 55, No. 2, 451--474 (2020; Zbl 1448.35211) Full Text: DOI Euclid
Bourget, Olivier; Sambou, Diomba; Taarabt, Amal On the spectral properties of non-selfadjoint discrete Schrödinger operators. (English. French summary) Zbl 1518.47025 J. Math. Pures Appl. (9) 141, 1-49 (2020). Reviewer: Andreas Boukas (Roma) MSC: 47A55 47B37 47B28 47A10 81Q15 PDFBibTeX XMLCite \textit{O. Bourget} et al., J. Math. Pures Appl. (9) 141, 1--49 (2020; Zbl 1518.47025) Full Text: DOI arXiv
Komech, Aleksandr I.; Kopylova, Elena A. Attractors of nonlinear Hamiltonian partial differential equations. (English. Russian original) Zbl 1439.35001 Russ. Math. Surv. 75, No. 1, 1-87 (2020); translation from Usp. Mat. Nauk 75, No. 1, 3-94 (2020). MSC: 35-02 35B41 35B40 35C08 35L71 35B06 PDFBibTeX XMLCite \textit{A. I. Komech} and \textit{E. A. Kopylova}, Russ. Math. Surv. 75, No. 1, 1--87 (2020; Zbl 1439.35001); translation from Usp. Mat. Nauk 75, No. 1, 3--94 (2020) Full Text: DOI arXiv
Ardila, Alex H. Orbital stability of standing waves for supercritical NLS with potential on graphs. (English) Zbl 1434.35174 Appl. Anal. 99, No. 8, 1359-1372 (2020). MSC: 35Q55 35R02 35Q51 PDFBibTeX XMLCite \textit{A. H. Ardila}, Appl. Anal. 99, No. 8, 1359--1372 (2020; Zbl 1434.35174) Full Text: DOI arXiv
Chambrion, Thomas; Thomann, Laurent On the bilinear control of the Gross-Pitaevskii equation. (English) Zbl 1437.35681 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 3, 605-626 (2020). MSC: 35Q93 35Q55 35Q41 35L05 93C20 PDFBibTeX XMLCite \textit{T. Chambrion} and \textit{L. Thomann}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 3, 605--626 (2020; Zbl 1437.35681) Full Text: DOI arXiv
Ardila, Alex H.; Dinh, Van Duong Some qualitative studies of the focusing inhomogeneous Gross-Pitaevskii equation. (English) Zbl 1437.35615 Z. Angew. Math. Phys. 71, No. 3, Paper No. 79, 24 p. (2020). MSC: 35Q55 35A01 35A15 35B44 35B35 PDFBibTeX XMLCite \textit{A. H. Ardila} and \textit{V. D. Dinh}, Z. Angew. Math. Phys. 71, No. 3, Paper No. 79, 24 p. (2020; Zbl 1437.35615) Full Text: DOI arXiv
Zhang, Jian Sharp threshold of global existence for nonlinear Schrödinger equation with partial confinement. (English) Zbl 1437.35644 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111832, 7 p. (2020). MSC: 35Q55 35B33 35B35 82C10 35A01 PDFBibTeX XMLCite \textit{J. Zhang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111832, 7 p. (2020; Zbl 1437.35644) Full Text: DOI