Senapati, P. Jitendra Kumar; Boggarapu, Pradeep Sharp Strichartz type estimates for the Schrödinger equation associated with harmonic oscillator. (English) Zbl 07808305 J. Anal. 31, No. 3, 2085-2096 (2023). MSC: 35B45 35J10 35Q41 42B37 42B15 42B35 PDFBibTeX XMLCite \textit{P. J. K. Senapati} and \textit{P. Boggarapu}, J. Anal. 31, No. 3, 2085--2096 (2023; Zbl 07808305) Full Text: DOI arXiv
Fan, Chenjie; Xu, Weijun; Zhao, Zehua Long time behavior of stochastic NLS with a small multiplicative noise. (English) Zbl 1528.35158 Commun. Math. Phys. 404, No. 1, 563-595 (2023). MSC: 35Q55 35Q41 35R60 60H40 35P25 35B20 35B35 35B65 PDFBibTeX XMLCite \textit{C. Fan} et al., Commun. Math. Phys. 404, No. 1, 563--595 (2023; Zbl 1528.35158) Full Text: DOI arXiv
Kofroth, Collin Integrated local energy decay for the damped wave equation on Stationary space-times. (English) Zbl 1525.35033 SIAM J. Math. Anal. 55, No. 5, 5086-5126 (2023). MSC: 35B40 35L05 58J45 35Q93 PDFBibTeX XMLCite \textit{C. Kofroth}, SIAM J. Math. Anal. 55, No. 5, 5086--5126 (2023; Zbl 1525.35033) Full Text: DOI arXiv
Tzvetkov, N.; Visciglia, N. Global dynamics of the \(2d\) NLS with white noise potential and generic polynomial nonlinearity. (English) Zbl 1519.35307 Commun. Math. Phys. 401, No. 3, 3109-3121 (2023). MSC: 35Q55 35Q41 60H40 35A09 35R60 PDFBibTeX XMLCite \textit{N. Tzvetkov} and \textit{N. Visciglia}, Commun. Math. Phys. 401, No. 3, 3109--3121 (2023; Zbl 1519.35307) Full Text: DOI arXiv
Cheng, Han; Huang, Shanlin; Zheng, Quan Dispersive estimates for the Schrödinger equation with finite rank perturbations. (English) Zbl 1518.35261 Adv. Math. 426, Article ID 109105, 91 p. (2023). MSC: 35J10 81Q15 42B37 PDFBibTeX XMLCite \textit{H. Cheng} et al., Adv. Math. 426, Article ID 109105, 91 p. (2023; Zbl 1518.35261) Full Text: DOI arXiv
Li, Ping; Soffer, Avy; Yao, Xiaohua Decay estimates for fourth-order Schrödinger operators in dimension two. (English) Zbl 1511.35137 J. Funct. Anal. 284, No. 6, Article ID 109816, 83 p. (2023). MSC: 35J30 31B30 PDFBibTeX XMLCite \textit{P. Li} et al., J. Funct. Anal. 284, No. 6, Article ID 109816, 83 p. (2023; Zbl 1511.35137) Full Text: DOI arXiv
Goldberg, Michael; Green, William R. Time integrable weighted dispersive estimates for the fourth order Schrödinger equation in three dimensions. (English) Zbl 1527.35147 Bull. Lond. Math. Soc. 54, No. 2, 428-448 (2022). Reviewer: Luigi Provenzano (Padova) MSC: 35J30 35J10 47A10 PDFBibTeX XMLCite \textit{M. Goldberg} and \textit{W. R. Green}, Bull. Lond. Math. Soc. 54, No. 2, 428--448 (2022; Zbl 1527.35147) Full Text: DOI arXiv
Camps, Nicolas Asymptotic stability of small ground states for NLS under random perturbations. (English) Zbl 1519.35283 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 6, 1261-1318 (2022). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q55 35Q41 35Q51 35B40 42B10 42B37 35A01 35A02 35B35 35P30 35R60 PDFBibTeX XMLCite \textit{N. Camps}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 6, 1261--1318 (2022; Zbl 1519.35283) Full Text: DOI arXiv
Zhao, Shiliang; Zheng, Quan Continuity of the integral kernel of Schrödinger propagator. (English) Zbl 1504.35159 J. Differ. Equations 341, 189-207 (2022). MSC: 35K08 35J10 35Q41 PDFBibTeX XMLCite \textit{S. Zhao} and \textit{Q. Zheng}, J. Differ. Equations 341, 189--207 (2022; Zbl 1504.35159) Full Text: DOI
Germain, Pierre; Pusateri, Fabio Quadratic Klein-Gordon equations with a potential in one dimension. (English) Zbl 1495.35126 Forum Math. Pi 10, Paper No. e17, 172 p. (2022). MSC: 35L71 35P25 35Q56 42B37 PDFBibTeX XMLCite \textit{P. Germain} and \textit{F. Pusateri}, Forum Math. Pi 10, Paper No. e17, 172 p. (2022; Zbl 1495.35126) Full Text: DOI arXiv
Blair, Matthew D.; Huang, Xiaoqi; Sire, Yannick; Sogge, Christopher D. Uniform Sobolev estimates on compact manifolds involving singular potentials. (English) Zbl 1493.58013 Rev. Mat. Iberoam. 38, No. 4, 1239-1286 (2022). MSC: 58J50 35P15 35J05 PDFBibTeX XMLCite \textit{M. D. Blair} et al., Rev. Mat. Iberoam. 38, No. 4, 1239--1286 (2022; Zbl 1493.58013) Full Text: DOI arXiv
Soffer, Avy; Wu, Zhao; Yao, Xiaohua Decay estimates for bi-Schrödinger operators in dimension one. (English) Zbl 1505.35129 Ann. Henri Poincaré 23, No. 8, 2683-2744 (2022). Reviewer: Said El Manouni (Riyadh) MSC: 35J30 35B65 PDFBibTeX XMLCite \textit{A. Soffer} et al., Ann. Henri Poincaré 23, No. 8, 2683--2744 (2022; Zbl 1505.35129) Full Text: DOI arXiv
Keeler, Blake; Marzuola, Jeremy L. Pointwise dispersive estimates for Schrödinger operators on product cones. (English) Zbl 1486.35159 J. Differ. Equations 320, 419-468 (2022). MSC: 35J10 35R01 35P05 PDFBibTeX XMLCite \textit{B. Keeler} and \textit{J. L. Marzuola}, J. Differ. Equations 320, 419--468 (2022; Zbl 1486.35159) Full Text: DOI arXiv
Kovařík, Hynek Spectral properties and time decay of the wave functions of Pauli and Dirac operators in dimension two. (English) Zbl 1491.35376 Adv. Math. 398, Article ID 108244, 94 p. (2022). MSC: 35Q41 35P05 35B40 PDFBibTeX XMLCite \textit{H. Kovařík}, Adv. Math. 398, Article ID 108244, 94 p. (2022; Zbl 1491.35376) Full Text: DOI arXiv
Wei, Lei; Duan, Zhiwen Dispersive decay for the nonlinear magnetic Schrödinger equation. (English) Zbl 1490.35458 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 217, Article ID 112743, 23 p. (2022). MSC: 35Q55 35B40 35Q41 81Q20 35A01 35A02 PDFBibTeX XMLCite \textit{L. Wei} and \textit{Z. Duan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 217, Article ID 112743, 23 p. (2022; Zbl 1490.35458) Full Text: DOI
Huang, Xiaoqi; Sogge, Christopher D. Uniform Sobolev estimates in \(\mathbb{R}^n\) involving singular potentials. (English) Zbl 1483.35055 J. Geom. Anal. 32, No. 2, Paper No. 68, 36 p. (2022). MSC: 35B45 35J10 35P15 PDFBibTeX XMLCite \textit{X. Huang} and \textit{C. D. Sogge}, J. Geom. Anal. 32, No. 2, Paper No. 68, 36 p. (2022; Zbl 1483.35055) Full Text: DOI arXiv
Maeda, Masaya; Sasaki, Hironobu; Segawa, Etsuo; Suzuki, Akito; Suzuki, Kanako Dispersive estimates for quantum walks on 1D lattice. (English) Zbl 1485.35329 J. Math. Soc. Japan 74, No. 1, 217-246 (2022). Reviewer: Nelson Faustino (Alfeizerão) MSC: 35Q41 81U30 82B41 PDFBibTeX XMLCite \textit{M. Maeda} et al., J. Math. Soc. Japan 74, No. 1, 217--246 (2022; Zbl 1485.35329) Full Text: DOI arXiv
Erdoğan, M. Burak; Goldberg, Michael; Green, William R. Strichartz estimates for the Schrödinger equation with a measure-valued potential. (English) Zbl 1491.35357 Proc. Am. Math. Soc., Ser. B 8, 336-348 (2021). Reviewer: Ivan Naumkin (Nice) MSC: 35Q40 42B15 35B20 28A80 PDFBibTeX XMLCite \textit{M. B. Erdoğan} et al., Proc. Am. Math. Soc., Ser. B 8, 336--348 (2021; Zbl 1491.35357) Full Text: DOI arXiv
Dietze, Charlotte Dispersive estimates for nonlinear Schrödinger equations with external potentials. (English) Zbl 1490.35408 J. Math. Phys. 62, No. 11, Article ID 111502, 30 p. (2021). MSC: 35Q55 35Q41 35Q40 82C10 82D10 81V70 PDFBibTeX XMLCite \textit{C. Dietze}, J. Math. Phys. 62, No. 11, Article ID 111502, 30 p. (2021; Zbl 1490.35408) 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
Chong, Jacky; Grillakis, Manoussos; Machedon, Matei; Zhao, Zehua Global estimates for the Hartree-Fock-Bogoliubov equations. (English) Zbl 1477.35190 Commun. Partial Differ. Equations 46, No. 10, 2015-2055 (2021). MSC: 35Q40 35Q55 PDFBibTeX XMLCite \textit{J. Chong} et al., Commun. Partial Differ. Equations 46, No. 10, 2015--2055 (2021; Zbl 1477.35190) Full Text: DOI arXiv
Bouclet, Jean-Marc; Burq, Nicolas Sharp resolvent and time-decay estimates for dispersive equations on asymptotically Euclidean backgrounds. (English) Zbl 1473.35040 Duke Math. J. 170, No. 11, 2575-2629 (2021). MSC: 35B40 35L05 35P20 35Q41 PDFBibTeX XMLCite \textit{J.-M. Bouclet} and \textit{N. Burq}, Duke Math. J. 170, No. 11, 2575--2629 (2021; Zbl 1473.35040) Full Text: DOI arXiv
Blair, Matthew D.; Sire, Yannick; Sogge, Christopher D. Quasimode, eigenfunction and spectral projection bounds for Schrödinger operators on manifolds with critically singular potentials. (English) Zbl 1472.35257 J. Geom. Anal. 31, No. 7, 6624-6661 (2021). MSC: 35P20 35J10 42B15 58J50 35R01 PDFBibTeX XMLCite \textit{M. D. Blair} et al., J. Geom. Anal. 31, No. 7, 6624--6661 (2021; Zbl 1472.35257) Full Text: DOI arXiv
Fan, Chenjie; Xu, Weijun Decay of the stochastic linear Schrödinger equation in \(d\geq3\) with small multiplicative noise. (English) Zbl 1476.35216 Stoch. Partial Differ. Equ., Anal. Comput. 9, No. 2, 472-490 (2021). MSC: 35Q41 35B40 60H40 60J65 35R60 PDFBibTeX XMLCite \textit{C. Fan} and \textit{W. Xu}, Stoch. Partial Differ. Equ., Anal. Comput. 9, No. 2, 472--490 (2021; Zbl 1476.35216) Full Text: DOI arXiv
Lindblad, Hans; Lührmann, Jonas; Soffer, Avy Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities. (English) Zbl 1475.35305 Arch. Ration. Mech. Anal. 241, No. 3, 1459-1527 (2021). MSC: 35Q53 35B40 35B05 35P25 35C08 PDFBibTeX XMLCite \textit{H. Lindblad} et al., Arch. Ration. Mech. Anal. 241, No. 3, 1459--1527 (2021; Zbl 1475.35305) Full Text: DOI arXiv
Schlag, W. On pointwise decay of waves. (English) Zbl 1467.81039 J. Math. Phys. 62, No. 6, Article ID 061509, 27 p. (2021). MSC: 81Q05 81Q35 35B40 83C57 35Q55 35B44 PDFBibTeX XMLCite \textit{W. Schlag}, J. Math. Phys. 62, No. 6, Article ID 061509, 27 p. (2021; Zbl 1467.81039) Full Text: DOI arXiv
Gao, Xiaofen; Wang, Jialu; Zhang, Junyong; Zheng, Jiqiang Uniform resolvent estimates for Schrödinger operators in Aharonov-Bohm magnetic fields. (English) Zbl 1471.35245 J. Differ. Equations 292, 70-89 (2021). MSC: 35Q40 35J10 42B37 81V10 PDFBibTeX XMLCite \textit{X. Gao} et al., J. Differ. Equations 292, 70--89 (2021; Zbl 1471.35245) Full Text: DOI
Feng, Hongliang Dispersive estimates for inhomogeneous fourth-order Schrödinger operator in 3D with zero energy obstructions. (English) Zbl 1465.35167 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 207, Article ID 112269, 33 p. (2021). MSC: 35J30 PDFBibTeX XMLCite \textit{H. Feng}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 207, Article ID 112269, 33 p. (2021; Zbl 1465.35167) Full Text: DOI arXiv
Erdoğan, M. Burak; Green, William R.; Toprak, Ebru On the fourth order Schrödinger equation in three dimensions: dispersive estimates and zero energy resonances. (English) Zbl 1455.35212 J. Differ. Equations 271, 152-185 (2021). MSC: 35Q41 35B34 PDFBibTeX XMLCite \textit{M. B. Erdoğan} et al., J. Differ. Equations 271, 152--185 (2021; Zbl 1455.35212) Full Text: DOI arXiv
Lindblad, Hans; Lührmann, Jonas; Soffer, Avy Decay and asymptotics for the one-dimensional Klein-Gordon equation with variable coefficient cubic nonlinearities. (English) Zbl 1455.35021 SIAM J. Math. Anal. 52, No. 6, 6379-6411 (2020). MSC: 35B40 35L71 35L15 35P25 35Q51 35Q56 PDFBibTeX XMLCite \textit{H. Lindblad} et al., SIAM J. Math. Anal. 52, No. 6, 6379--6411 (2020; Zbl 1455.35021) Full Text: DOI arXiv
Deng, Qingquan; Yao, Xiaohua Asymptotic stability of multi-soliton solutions for nonlinear Schrödinger equations with time-dependent potential. (English) Zbl 1443.81029 J. Math. Phys. 61, No. 4, 041504, 35 p. (2020). MSC: 81Q05 81Q10 35Q55 35Q41 35C08 46E39 93B18 PDFBibTeX XMLCite \textit{Q. Deng} and \textit{X. Yao}, J. Math. Phys. 61, No. 4, 041504, 35 p. (2020; Zbl 1443.81029) Full Text: DOI
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
Feng, Hongliang; Soffer, Avy; Wu, Zhao; Yao, Xiaohua Decay estimates for higher-order elliptic operators. (English) Zbl 1440.35054 Trans. Am. Math. Soc. 373, No. 4, 2805-2859 (2020). Reviewer: Michael Perelmuter (Kyïv) MSC: 35J10 35J30 35P05 PDFBibTeX XMLCite \textit{H. Feng} et al., Trans. Am. Math. Soc. 373, No. 4, 2805--2859 (2020; Zbl 1440.35054) Full Text: DOI arXiv
Zhang, Junyong; Zheng, Jiqiang Strichartz estimates and wave equation in a conic singular space. (English) Zbl 1433.42026 Math. Ann. 376, No. 1-2, 525-581 (2020). MSC: 42B37 35L05 35Q40 47J35 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{J. Zheng}, Math. Ann. 376, No. 1--2, 525--581 (2020; Zbl 1433.42026) Full Text: DOI arXiv
Mizutani, Haruya; Zhang, Junyong; Zheng, Jiqiang Uniform resolvent estimates for Schrödinger operator with an inverse-square potential. (English) Zbl 1429.42027 J. Funct. Anal. 278, No. 4, Article ID 108350, 29 p. (2020). MSC: 42B37 35Q40 35J10 35Q41 47J35 PDFBibTeX XMLCite \textit{H. Mizutani} et al., J. Funct. Anal. 278, No. 4, Article ID 108350, 29 p. (2020; Zbl 1429.42027) Full Text: DOI arXiv
Simon, Barry Tosio Kato’s work on non-relativistic quantum mechanics. II. (English) Zbl 1472.81094 Bull. Math. Sci. 9, No. 1, Article ID 1950005, 105 p. (2019). Reviewer: Heinz Siedentop (München) MSC: 81Q10 81U05 47A55 35Q40 46N50 81Q15 PDFBibTeX XMLCite \textit{B. Simon}, Bull. Math. Sci. 9, No. 1, Article ID 1950005, 105 p. (2019; Zbl 1472.81094) Full Text: DOI arXiv
Bui, The Anh; D’Ancona, Piero; Duong, Xuan Thinh; Müller, Detlef On the flows associated to selfadjoint operators on metric measure spaces. (English) Zbl 1430.42029 Math. Ann. 375, No. 3-4, 1393-1426 (2019). Reviewer: Vadim D. Kryakvin (Rostov-na-Donu) MSC: 42B37 47D08 46E35 PDFBibTeX XMLCite \textit{T. A. Bui} et al., Math. Ann. 375, No. 3--4, 1393--1426 (2019; Zbl 1430.42029) Full Text: DOI Link
Green, William R.; Toprak, Ebru On the fourth order Schrödinger equation in four dimensions: dispersive estimates and zero energy resonances. (English) Zbl 1429.35059 J. Differ. Equations 267, No. 3, 1899-1954 (2019). Reviewer: Youssef Jabri (Oujda) MSC: 35J10 35J30 PDFBibTeX XMLCite \textit{W. R. Green} and \textit{E. Toprak}, J. Differ. Equations 267, No. 3, 1899--1954 (2019; Zbl 1429.35059) Full Text: DOI arXiv
Germain, Pierre; Pusateri, Fabio; Rousset, Frédéric The nonlinear Schrödinger equation with a potential. (English) Zbl 1406.35355 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 6, 1477-1530 (2018). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q55 35B34 35P25 35B40 42A38 PDFBibTeX XMLCite \textit{P. Germain} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 6, 1477--1530 (2018; Zbl 1406.35355) Full Text: DOI arXiv
Simon, Barry Tosio Kato’s work on non-relativistic quantum mechanics. I. (English) Zbl 1416.81063 Bull. Math. Sci. 8, No. 1, 121-232 (2018). Reviewer: Heinz Siedentop (München) MSC: 81Q10 81U05 47A55 35Q40 46N50 81Q15 01A70 PDFBibTeX XMLCite \textit{B. Simon}, Bull. Math. Sci. 8, No. 1, 121--232 (2018; Zbl 1416.81063) Full Text: DOI
Erdoğan, M. Burak; Goldberg, Michael; Green, William R. On the \(L^p\) boundedness of wave operators for two-dimensional Schrödinger operators with threshold obstructions. (English) Zbl 1516.35132 J. Funct. Anal. 274, No. 7, 2139-2161 (2018). MSC: 35B45 35J10 35Q41 35P05 PDFBibTeX XMLCite \textit{M. B. Erdoğan} et al., J. Funct. Anal. 274, No. 7, 2139--2161 (2018; Zbl 1516.35132) Full Text: DOI arXiv
Huang, Shanlin; Yao, Xiaohua; Zheng, Quan Remarks on \(L^{p}\)-limiting absorption principle of Schrödinger operators and applications to spectral multiplier theorems. (English) Zbl 1381.42025 Forum Math. 30, No. 1, 43-55 (2018). MSC: 42B20 42B37 35G05 PDFBibTeX XMLCite \textit{S. Huang} et al., Forum Math. 30, No. 1, 43--55 (2018; Zbl 1381.42025) Full Text: DOI arXiv
Feng, Hongliang; Soffer, Avy; Yao, Xiaohua Decay estimates and Strichartz estimates of fourth-order Schrödinger operator. (English) Zbl 1379.58013 J. Funct. Anal. 274, No. 2, 605-658 (2018). MSC: 58J50 42B15 35P15 42B20 47F05 PDFBibTeX XMLCite \textit{H. Feng} et al., J. Funct. Anal. 274, No. 2, 605--658 (2018; Zbl 1379.58013) Full Text: DOI arXiv
Forcella, Luigi; Visciglia, Nicola Double scattering channels for 1\(D\) NLS in the energy space and its generalization to higher dimensions. (English) Zbl 1397.35270 J. Differ. Equations 264, No. 2, 929-958 (2018). Reviewer: Vincent Lescarret (Gif-sur-Yvette) MSC: 35Q55 35P25 PDFBibTeX XMLCite \textit{L. Forcella} and \textit{N. Visciglia}, J. Differ. Equations 264, No. 2, 929--958 (2018; Zbl 1397.35270) Full Text: DOI arXiv
Hong, Younghun Strichartz estimates for \(N\)-body Schrödinger operators with small potential interactions. (English) Zbl 1371.35233 Discrete Contin. Dyn. Syst. 37, No. 10, 5355-5365 (2017). MSC: 35Q40 35Q41 81U10 35B40 35Q70 35P25 PDFBibTeX XMLCite \textit{Y. Hong}, Discrete Contin. Dyn. Syst. 37, No. 10, 5355--5365 (2017; Zbl 1371.35233) Full Text: DOI
Goldberg, Michael; Green, William R. On the \(L^p\) boundedness of wave operators for four-dimensional Schrödinger operators with a threshold eigenvalue. (English) Zbl 1364.81223 Ann. Henri Poincaré 18, No. 4, 1269-1288 (2017). MSC: 81U20 81Q05 35J10 35P25 PDFBibTeX XMLCite \textit{M. Goldberg} and \textit{W. R. Green}, Ann. Henri Poincaré 18, No. 4, 1269--1288 (2017; Zbl 1364.81223) Full Text: DOI arXiv
Chen, Gong Strichartz estimates for charge transfer models. (English) Zbl 1365.35150 Discrete Contin. Dyn. Syst. 37, No. 3, 1201-1226 (2017). MSC: 35Q55 35Q40 81U10 PDFBibTeX XMLCite \textit{G. Chen}, Discrete Contin. Dyn. Syst. 37, No. 3, 1201--1226 (2017; Zbl 1365.35150) Full Text: DOI arXiv
Cheng, Xing; Li, Ze; Zhao, Lifeng Scattering of solutions to the nonlinear Schrödinger equations with regular potentials. (English) Zbl 1361.35162 Discrete Contin. Dyn. Syst. 37, No. 6, 2999-3023 (2017). MSC: 35Q55 35P25 PDFBibTeX XMLCite \textit{X. Cheng} et al., Discrete Contin. Dyn. Syst. 37, No. 6, 2999--3023 (2017; Zbl 1361.35162) Full Text: DOI arXiv
Komech, Alexander Attractors of Hamilton nonlinear PDEs. (English) Zbl 1382.35049 Discrete Contin. Dyn. Syst. 36, No. 11, 6201-6256 (2016). Reviewer: Jauber C. Oliveira (Florianopolis) MSC: 35B41 35L70 35Q40 PDFBibTeX XMLCite \textit{A. Komech}, Discrete Contin. Dyn. Syst. 36, No. 11, 6201--6256 (2016; Zbl 1382.35049) Full Text: DOI
Goldberg, Michael; Green, William R. The \(L^{p}\) boundedness of wave operators for Schrödinger operators with threshold singularities. (English) Zbl 1351.35029 Adv. Math. 303, 360-389 (2016). MSC: 35J10 35Q41 35P25 PDFBibTeX XMLCite \textit{M. Goldberg} and \textit{W. R. Green}, Adv. Math. 303, 360--389 (2016; Zbl 1351.35029) Full Text: DOI arXiv
Bui, The Anh; Duong, Xuan Thinh; Hong, Younghun Dispersive and Strichartz estimates for the three-dimensional wave equation with a scaling-critical class of potentials. (English) Zbl 1356.35061 J. Funct. Anal. 271, No. 8, 2215-2246 (2016). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35B45 35L05 58J50 35L15 PDFBibTeX XMLCite \textit{T. A. Bui} et al., J. Funct. Anal. 271, No. 8, 2215--2246 (2016; Zbl 1356.35061) Full Text: DOI
Georgescu, Vladimir; Larenas, Manuel; Soffer, Avy Abstract theory of pointwise decay with applications to wave and Schrödinger equations. (English) Zbl 1367.47029 Ann. Henri Poincaré 17, No. 8, 2075-2101 (2016). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47B25 47B47 37L50 35Q41 47D08 81Q10 PDFBibTeX XMLCite \textit{V. Georgescu} et al., Ann. Henri Poincaré 17, No. 8, 2075--2101 (2016; Zbl 1367.47029) Full Text: DOI arXiv
Hong, Younghun A spectral multiplier theorem associated with a Schrödinger operator. (English) Zbl 1361.42011 J. Fourier Anal. Appl. 22, No. 3, 591-622 (2016). Reviewer: Pu Zhang (Mudanjiang) MSC: 42B15 42B20 42B37 35Q55 PDFBibTeX XMLCite \textit{Y. Hong}, J. Fourier Anal. Appl. 22, No. 3, 591--622 (2016; Zbl 1361.42011) Full Text: DOI arXiv
Nicola, Fabio Convergence in \(L^{p}\) for Feynman path integrals. (English) Zbl 1336.81034 Adv. Math. 294, 384-409 (2016). MSC: 81Q05 81Q30 35S30 42B20 46E35 35Q41 PDFBibTeX XMLCite \textit{F. Nicola}, Adv. Math. 294, 384--409 (2016; Zbl 1336.81034) Full Text: DOI arXiv
Laul, Parul; Metcalfe, Jason; Tikare, Shreyas; Tohaneanu, Mihai Localized energy estimates for wave equations on (1+4)-dimensional Myers-Perry space-times. (English) Zbl 1333.35279 SIAM J. Math. Anal. 47, No. 3, 1933-1957 (2015). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q75 35L05 83C57 35B45 35Q76 PDFBibTeX XMLCite \textit{P. Laul} et al., SIAM J. Math. Anal. 47, No. 3, 1933--1957 (2015; Zbl 1333.35279) Full Text: DOI DOI arXiv
Kovařík, Hynek Resolvent expansion and time decay of the wave functions for two-dimensional magnetic Schrödinger operators. (English) Zbl 1317.35236 Commun. Math. Phys. 337, No. 2, 681-726 (2015). MSC: 35Q55 35C20 PDFBibTeX XMLCite \textit{H. Kovařík}, Commun. Math. Phys. 337, No. 2, 681--726 (2015; Zbl 1317.35236) Full Text: DOI arXiv
Goldberg, Michael; Green, William R. Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. I: The odd dimensional case. (English) Zbl 1317.35216 J. Funct. Anal. 269, No. 3, 633-682 (2015). MSC: 35Q41 35B45 PDFBibTeX XMLCite \textit{M. Goldberg} and \textit{W. R. Green}, J. Funct. Anal. 269, No. 3, 633--682 (2015; Zbl 1317.35216) Full Text: DOI arXiv
D’Ancona, Piero Kato smoothing and Strichartz estimates for wave equations with magnetic potentials. (English) Zbl 1311.35166 Commun. Math. Phys. 335, No. 1, 1-16 (2015). MSC: 35L90 35B65 35L05 35Q41 PDFBibTeX XMLCite \textit{P. D'Ancona}, Commun. Math. Phys. 335, No. 1, 1--16 (2015; Zbl 1311.35166) Full Text: DOI arXiv
Rodnianski, Igor; Tao, Terence Effective limiting absorption principles, and applications. (English) Zbl 1310.35204 Commun. Math. Phys. 333, No. 1, 1-95 (2015). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q41 PDFBibTeX XMLCite \textit{I. Rodnianski} and \textit{T. Tao}, Commun. Math. Phys. 333, No. 1, 1--95 (2015; Zbl 1310.35204) Full Text: DOI arXiv
Mizutani, Haruya Strichartz estimates for Schrödinger equations with variable coefficients and unbounded potentials. II: Superquadratic potentials. (English) Zbl 1304.35595 Commun. Pure Appl. Anal. 13, No. 6, 2177-2210 (2014). MSC: 35Q41 35B45 42B25 PDFBibTeX XMLCite \textit{H. Mizutani}, Commun. Pure Appl. Anal. 13, No. 6, 2177--2210 (2014; Zbl 1304.35595) Full Text: DOI arXiv
Erdoğan, M. Burak; Goldberg, Michael; Green, William R. Dispersive estimates for four dimensional Schrödinger and wave equations with obstructions at zero energy. (English) Zbl 1325.35017 Commun. Partial Differ. Equations 39, No. 10, 1936-1964 (2014). MSC: 35J10 35P15 35Q41 35L05 PDFBibTeX XMLCite \textit{M. B. Erdoğan} et al., Commun. Partial Differ. Equations 39, No. 10, 1936--1964 (2014; Zbl 1325.35017) Full Text: DOI arXiv
Cardoso, Fernando; Cuevas, Claudio; Vodev, Georgi Semi-classical dispersive estimates. (English) Zbl 1304.35147 Math. Z. 278, No. 1-2, 251-277 (2014). MSC: 35B45 47D06 35Q41 35L15 PDFBibTeX XMLCite \textit{F. Cardoso} et al., Math. Z. 278, No. 1--2, 251--277 (2014; Zbl 1304.35147) Full Text: DOI arXiv
Blair, Matthew D. On refined local smoothing estimates for the Schrödinger equation in exterior domains. (English) Zbl 1297.35201 Commun. Partial Differ. Equations 39, No. 5, 781-805 (2014). MSC: 35Q41 35B65 35J10 35A17 42B37 35B45 PDFBibTeX XMLCite \textit{M. D. Blair}, Commun. Partial Differ. Equations 39, No. 5, 781--805 (2014; Zbl 1297.35201) Full Text: DOI arXiv
Grillo, Gabriele; Kovařík, Hynek Weighted dispersive estimates for two-dimensional Schrödinger operators with Aharonov-Bohm magnetic field. (English) Zbl 1294.35154 J. Differ. Equations 256, No. 12, 3889-3911 (2014). Reviewer: Vladimir Čadež (Beograd) MSC: 35Q60 82C10 35J10 82B44 78A25 78A02 81R15 47D08 PDFBibTeX XMLCite \textit{G. Grillo} and \textit{H. Kovařík}, J. Differ. Equations 256, No. 12, 3889--3911 (2014; Zbl 1294.35154) Full Text: DOI arXiv
Cuccagna, Scipio; Maeda, Masaya On weak interaction between a ground state and a non-trapping potential. (English) Zbl 1285.35107 J. Differ. Equations 256, No. 4, 1395-1466 (2014). MSC: 35Q55 35Q51 35B35 35B40 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{M. Maeda}, J. Differ. Equations 256, No. 4, 1395--1466 (2014; Zbl 1285.35107) Full Text: DOI arXiv
Barceló, Juan Antonio; Vega, Luis; Zubeldia, Miren The forward problem for the electromagnetic Helmholtz equation with critical singularities. (English) Zbl 1284.35144 Adv. Math. 240, 636-671 (2013). MSC: 35J05 35B25 35B45 35P25 35Q60 47A10 PDFBibTeX XMLCite \textit{J. A. Barceló} et al., Adv. Math. 240, 636--671 (2013; Zbl 1284.35144) Full Text: DOI arXiv
Fanelli, Luca; Felli, Veronica; Fontelos, Marco A.; Primo, Ana Time decay of scaling critical electromagnetic Schrödinger flows. (English) Zbl 1293.35266 Commun. Math. Phys. 324, No. 3, 1033-1067 (2013). Reviewer: Vincent Lescarret (Gif-sur-Yvette) MSC: 35Q41 35Q55 PDFBibTeX XMLCite \textit{L. Fanelli} et al., Commun. Math. Phys. 324, No. 3, 1033--1067 (2013; Zbl 1293.35266) Full Text: DOI arXiv
Christianson, Hans Near sharp Strichartz estimates with loss in the presence of degenerate hyperbolic trapping. (English) Zbl 1282.58013 Commun. Math. Phys. 324, No. 3, 657-693 (2013). MSC: 58J05 35J10 58J40 58J47 PDFBibTeX XMLCite \textit{H. Christianson}, Commun. Math. Phys. 324, No. 3, 657--693 (2013; Zbl 1282.58013) Full Text: DOI arXiv
Erdoğan, M. Burak; Green, William R. Dispersive estimates for Schrödinger operators in dimension two with obstructions at zero energy. (English) Zbl 1282.35143 Trans. Am. Math. Soc. 365, No. 12, 6403-6440 (2013). Reviewer: Mihai Pascu (Bucureşti) MSC: 35J10 81U30 PDFBibTeX XMLCite \textit{M. B. Erdoğan} and \textit{W. R. Green}, Trans. Am. Math. Soc. 365, No. 12, 6403--6440 (2013; Zbl 1282.35143) Full Text: DOI arXiv
Robbiano, Luc Kato smoothing effect for Schrödinger operator. (English) Zbl 1273.35233 Cicognani, Massimo (ed.) et al., Studies in phase space analysis with applications to PDEs. In part selected papers based on the presentations at a meeting, Bertinoro, Italy, September 2011. New York, NY: Birkhäuser/Springer (ISBN 978-1-4614-6347-4/hbk; 978-1-4614-6348-1/ebook). Progress in Nonlinear Differential Equations and Their Applications 84, 355-369 (2013). MSC: 35Q41 35B65 PDFBibTeX XMLCite \textit{L. Robbiano}, Prog. Nonlinear Differ. Equ. Appl. 84, 355--369 (2013; Zbl 1273.35233) Full Text: DOI
Galtbayar, Artbazar; Yajima, Kenji Resolvent estimates in amalgam spaces and asymptotic expansions for Schrödinger equations. (English) Zbl 1284.35361 J. Math. Soc. Japan 65, No. 2, 563-605 (2013). MSC: 35Q41 35B40 PDFBibTeX XMLCite \textit{A. Galtbayar} and \textit{K. Yajima}, J. Math. Soc. Japan 65, No. 2, 563--605 (2013; Zbl 1284.35361) Full Text: DOI Euclid
Erdoğan, M. Burak; Green, William R. A weighted dispersive estimate for Schrödinger operators in dimension two. (English) Zbl 1272.35053 Commun. Math. Phys. 319, No. 3, 791-811 (2013). Reviewer: James Bernard Kennedy (Ulm) MSC: 35B45 35J10 35P10 35B40 47D06 PDFBibTeX XMLCite \textit{M. B. Erdoğan} and \textit{W. R. Green}, Commun. Math. Phys. 319, No. 3, 791--811 (2013; Zbl 1272.35053) Full Text: DOI arXiv
Green, William R. Dispersive estimates for matrix and scalar Schrödinger operators in dimension five. (English) Zbl 1373.35266 Ill. J. Math. 56, No. 2, 307-341 (2012). MSC: 35Q41 42B20 PDFBibTeX XMLCite \textit{W. R. Green}, Ill. J. Math. 56, No. 2, 307--341 (2012; Zbl 1373.35266) Full Text: Euclid
Blair, Matthew D.; Smith, Hart F.; Sogge, Chris D. Strichartz estimates and the nonlinear Schrödinger equation on manifolds with boundary. (English) Zbl 1262.58015 Math. Ann. 354, No. 4, 1397-1430 (2012). MSC: 58J32 35J10 35G61 PDFBibTeX XMLCite \textit{M. D. Blair} et al., Math. Ann. 354, No. 4, 1397--1430 (2012; Zbl 1262.58015) Full Text: DOI arXiv
Parui, S.; Ratnakumar, P. K.; Thangavelu, S. Analyticity of the Schrödinger propagator on the Heisenberg group. (English) Zbl 1256.22004 Monatsh. Math. 168, No. 2, 279-303 (2012). Reviewer: Jorge Vargas (Cordoba) MSC: 22E30 35G10 47A63 PDFBibTeX XMLCite \textit{S. Parui} et al., Monatsh. Math. 168, No. 2, 279--303 (2012; Zbl 1256.22004) Full Text: DOI Link
Beceanu, Marius; Goldberg, Michael Schrödinger dispersive estimates for a scaling-critical class of potentials. (English) Zbl 1250.35047 Commun. Math. Phys. 314, No. 2, 471-481 (2012). MSC: 35B45 47D06 35Q41 PDFBibTeX XMLCite \textit{M. Beceanu} and \textit{M. Goldberg}, Commun. Math. Phys. 314, No. 2, 471--481 (2012; Zbl 1250.35047) Full Text: DOI arXiv
Nakanishi, Kenji; Van Phan, Tuoc; Tsai, Tai-Peng Small solutions of nonlinear Schrödinger equations near first excited states. (English) Zbl 1244.35136 J. Funct. Anal. 263, No. 3, 703-781 (2012). MSC: 35Q55 81Q05 35P05 PDFBibTeX XMLCite \textit{K. Nakanishi} et al., J. Funct. Anal. 263, No. 3, 703--781 (2012; Zbl 1244.35136) Full Text: DOI arXiv
Mizutani, Haruya Strichartz estimates for Schrödinger equations on scattering manifolds. (English) Zbl 1244.35020 Commun. Partial Differ. Equations 37, No. 1-3, 169-224 (2012). Reviewer: Chengbo Wang (Hangzhou) MSC: 35B45 35J10 PDFBibTeX XMLCite \textit{H. Mizutani}, Commun. Partial Differ. Equations 37, No. 1--3, 169--224 (2012; Zbl 1244.35020) Full Text: DOI Link
D’Ancona, Piero; Selberg, Sigmund Dispersive estimate for the 1D Schrödinger equation with a steplike potential. (English) Zbl 1232.35037 J. Differ. Equations 252, No. 2, 1603-1634 (2012). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J10 35J05 35Q41 PDFBibTeX XMLCite \textit{P. D'Ancona} and \textit{S. Selberg}, J. Differ. Equations 252, No. 2, 1603--1634 (2012; Zbl 1232.35037) Full Text: DOI arXiv
Beceanu, Marius New estimates for a time-dependent Schrödinger equation. (English) Zbl 1229.35224 Duke Math. J. 159, No. 3, 417-477 (2011). Reviewer: A. D. Osborne (Keele) MSC: 35Q41 PDFBibTeX XMLCite \textit{M. Beceanu}, Duke Math. J. 159, No. 3, 417--477 (2011; Zbl 1229.35224) Full Text: DOI arXiv
Cuccagna, Scipio The Hamiltonian structure of the nonlinear Schrödinger equation and the asymptotic stability of its ground states. (English) Zbl 1222.35183 Commun. Math. Phys. 305, No. 2, 279-331 (2011). MSC: 35Q55 35B40 35B35 PDFBibTeX XMLCite \textit{S. Cuccagna}, Commun. Math. Phys. 305, No. 2, 279--331 (2011; Zbl 1222.35183) Full Text: DOI arXiv
Mizutani, Haruya Dispersive estimates and asymptotic expansions for Schrödinger equations in dimension one. (English) Zbl 1211.35092 J. Math. Soc. Japan 63, No. 1, 239-261 (2011). MSC: 35J10 35B45 35B40 35C20 PDFBibTeX XMLCite \textit{H. Mizutani}, J. Math. Soc. Japan 63, No. 1, 239--261 (2011; Zbl 1211.35092) Full Text: DOI Link
Sogge, Christopher D.; Wang, Chengbo Concerning the wave equation on asymptotically Euclidean manifolds. (English) Zbl 1231.35030 J. Anal. Math. 112, 1-32 (2010). Reviewer: Radu Precup (Cluj-Napoca) MSC: 35B45 35L71 35L15 58J45 PDFBibTeX XMLCite \textit{C. D. Sogge} and \textit{C. Wang}, J. Anal. Math. 112, 1--32 (2010; Zbl 1231.35030) Full Text: DOI arXiv
Goldberg, Michael A dispersive bound for three-dimensional Schrödinger operators with zero energy eigenvalues. (English) Zbl 1223.35265 Commun. Partial Differ. Equations 35, No. 9, 1610-1634 (2010). Reviewer: Nils Ackermann (Mexico City) MSC: 35Q41 81U30 35J10 47D08 PDFBibTeX XMLCite \textit{M. Goldberg}, Commun. Partial Differ. Equations 35, No. 9, 1610--1634 (2010; Zbl 1223.35265) Full Text: DOI arXiv
Schlag, Wilhelm; Soffer, Avy; Staubach, Wolfgang Decay for the wave and Schrödinger evolutions on manifolds with conical ends. I. (English) Zbl 1185.35046 Trans. Am. Math. Soc. 362, No. 1, 19-52 (2010). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35J10 58J05 58J60 35P25 PDFBibTeX XMLCite \textit{W. Schlag} et al., Trans. Am. Math. Soc. 362, No. 1, 19--52 (2010; Zbl 1185.35046) Full Text: DOI arXiv
Mirrahimi, Mazyar Lyapunov control of a quantum particle in a decaying potential. (English) Zbl 1176.35169 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 5, 1743-1765 (2009). MSC: 35Q55 35B35 35P05 81Q10 93C20 PDFBibTeX XMLCite \textit{M. Mirrahimi}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 5, 1743--1765 (2009; Zbl 1176.35169) Full Text: DOI arXiv EuDML
Goldberg, Michael Strichartz estimates for the Schrödinger equation with time-periodic \(L^{n/2}\) potentials. (English) Zbl 1161.35004 J. Funct. Anal. 256, No. 3, 718-746 (2009). MSC: 35J10 35P25 81Q10 PDFBibTeX XMLCite \textit{M. Goldberg}, J. Funct. Anal. 256, No. 3, 718--746 (2009; Zbl 1161.35004) Full Text: DOI arXiv
Erdoğan, M. Burak; Goldberg, Michael; Schlag, Wilhelm Strichartz and smoothing estimates for Schrödinger operators with large magnetic potentials in \(\mathbb R^3\). (English) Zbl 1152.35021 J. Eur. Math. Soc. (JEMS) 10, No. 2, 507-531 (2008). MSC: 35J10 35Q40 35B45 81Q05 PDFBibTeX XMLCite \textit{M. B. Erdoğan} et al., J. Eur. Math. Soc. (JEMS) 10, No. 2, 507--531 (2008; Zbl 1152.35021) Full Text: DOI arXiv
Ratnakumar, P. K. On Schrödinger propagator for the special Hermite operator. (English) Zbl 1214.42058 J. Fourier Anal. Appl. 14, No. 2, 286-300 (2008). MSC: 42C10 35G10 47A63 PDFBibTeX XMLCite \textit{P. K. Ratnakumar}, J. Fourier Anal. Appl. 14, No. 2, 286--300 (2008; Zbl 1214.42058) Full Text: DOI
Zheng, Shijun Time decay for Schrödinger equation with rough potentials. (English) Zbl 1150.35365 Anal. Theory Appl. 23, No. 4, 375-379 (2007). MSC: 35J10 42B25 PDFBibTeX XMLCite \textit{S. Zheng}, Anal. Theory Appl. 23, No. 4, 375--379 (2007; Zbl 1150.35365) Full Text: DOI arXiv
Erdoğan, M. Burak; Schlag, Wilhelm Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. II. (English) Zbl 1146.35324 J. Anal. Math. 99, 199-248 (2006). MSC: 35B45 47D06 35Q40 81Q10 PDFBibTeX XMLCite \textit{M. B. Erdoğan} and \textit{W. Schlag}, J. Anal. Math. 99, 199--248 (2006; Zbl 1146.35324) Full Text: DOI arXiv
Boussaid, Nabile Stable directions for small nonlinear Dirac standing waves. (English) Zbl 1127.35060 Commun. Math. Phys. 268, No. 3, 757-817 (2006). MSC: 35Q55 37K45 81Q05 35P25 PDFBibTeX XMLCite \textit{N. Boussaid}, Commun. Math. Phys. 268, No. 3, 757--817 (2006; Zbl 1127.35060) Full Text: DOI arXiv
Goldberg, Michael; Visan, Monica A counterexample to dispersive estimates for Schrödinger operators in higher dimensions. (English) Zbl 1110.35073 Commun. Math. Phys. 266, No. 1, 211-238 (2006). Reviewer: Alexander I. Kheyfits (Bronx) MSC: 35Q40 35J10 81Q05 47F05 PDFBibTeX XMLCite \textit{M. Goldberg} and \textit{M. Visan}, Commun. Math. Phys. 266, No. 1, 211--238 (2006; Zbl 1110.35073) Full Text: DOI arXiv
Illner, Reinhard; Lange, Horst; Teismann, Holger Limitations on the control of Schrödinger equations. (English) Zbl 1162.93316 ESAIM, Control Optim. Calc. Var. 12, 615-635 (2006). MSC: 93B05 35Q40 35Q55 PDFBibTeX XMLCite \textit{R. Illner} et al., ESAIM, Control Optim. Calc. Var. 12, 615--635 (2006; Zbl 1162.93316) Full Text: DOI Numdam EuDML
Burq, Nicolas; Planchon, Fabrice Smoothing and dispersive estimates for 1D Schrödinger equations with BV coefficients and applications. (English) Zbl 1293.35264 J. Funct. Anal. 236, No. 1, 265-298 (2006). MSC: 35Q40 35B30 35B45 35J10 PDFBibTeX XMLCite \textit{N. Burq} and \textit{F. Planchon}, J. Funct. Anal. 236, No. 1, 265--298 (2006; Zbl 1293.35264) Full Text: DOI arXiv
Yajima, K. Dispersive estimates for Schrödinger equations with threshold resonance and eigenvalue. (English) Zbl 1079.81021 Commun. Math. Phys. 259, No. 2, 475-509 (2005). MSC: 81Q10 47N50 35P15 35Q40 PDFBibTeX XMLCite \textit{K. Yajima}, Commun. Math. Phys. 259, No. 2, 475--509 (2005; Zbl 1079.81021) Full Text: DOI
Schlag, W. Dispersive estimates for Schrödinger operators in dimension two. (English) Zbl 1134.35321 Commun. Math. Phys. 257, No. 1, 87-117 (2005). MSC: 35J10 47F05 35P15 81U05 PDFBibTeX XMLCite \textit{W. Schlag}, Commun. Math. Phys. 257, No. 1, 87--117 (2005; Zbl 1134.35321) Full Text: DOI arXiv Link
D’Ancona, Piero; Pierfelice, Vittoria On the wave equation with a large rough potential. (English) Zbl 1087.35058 J. Funct. Anal. 227, No. 1, 30-77 (2005). Reviewer: Tuncay Aktosun (Arlington) MSC: 35L15 35B40 PDFBibTeX XMLCite \textit{P. D'Ancona} and \textit{V. Pierfelice}, J. Funct. Anal. 227, No. 1, 30--77 (2005; Zbl 1087.35058) Full Text: DOI arXiv
D’Ancona, Piero; Pierfelice, Vittoria; Visciglia, Nicola Some remarks on the Schrödinger equation with a potential in \(L^r_t L^s_x\). (English) Zbl 1082.35038 Math. Ann. 333, No. 2, 271-290 (2005). Reviewer: Kazushi Yoshitomi (Tokyo) MSC: 35B45 35B65 35B40 35Q40 PDFBibTeX XMLCite \textit{P. D'Ancona} et al., Math. Ann. 333, No. 2, 271--290 (2005; Zbl 1082.35038) Full Text: DOI arXiv
Nandakumaran, A. K.; Ratnakumar, P. K. Schrödinger equation and the oscillatory semigroup for the Hermite operator. (English) Zbl 1077.33015 J. Funct. Anal. 224, No. 2, 371-385 (2005); corrigendum ibid. 235, No. 2, 719-720 (2006). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 33C45 35G10 35J10 PDFBibTeX XMLCite \textit{A. K. Nandakumaran} and \textit{P. K. Ratnakumar}, J. Funct. Anal. 224, No. 2, 371--385 (2005; Zbl 1077.33015) Full Text: DOI Link