Chen, Gong; Pusateri, Fabio On the \(1d\) cubic NLS with a non-generic potential. (English) Zbl 07804753 Commun. Math. Phys. 405, No. 2, Paper No. 35, 59 p. (2024). MSC: 35Q55 35B40 35B34 35B65 42A38 35P30 PDFBibTeX XMLCite \textit{G. Chen} and \textit{F. Pusateri}, Commun. Math. Phys. 405, No. 2, Paper No. 35, 59 p. (2024; Zbl 07804753) Full Text: DOI arXiv
Collot, Charles; Dietert, Helge; Germain, Pierre Stability and cascades for the Kolmogorov-Zakharov spectrum of wave turbulence. (English) Zbl 07804740 Arch. Ration. Mech. Anal. 248, No. 1, Paper No. 7, 31 p. (2024). MSC: 35Q55 35Q41 35Q20 82C40 35B35 42B10 76F55 PDFBibTeX XMLCite \textit{C. Collot} et al., Arch. Ration. Mech. Anal. 248, No. 1, Paper No. 7, 31 p. (2024; Zbl 07804740) Full Text: DOI arXiv
Liu, Naijia; Rozendaal, Jan; Song, Liang; Yan, Lixin Local smoothing and Hardy spaces for Fourier integral operators on manifolds. (English) Zbl 07794595 J. Funct. Anal. 286, No. 2, Article ID 110221, 72 p. (2024). MSC: 58J45 35L05 42B35 35S30 PDFBibTeX XMLCite \textit{N. Liu} et al., J. Funct. Anal. 286, No. 2, Article ID 110221, 72 p. (2024; Zbl 07794595) Full Text: DOI arXiv
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
Kairzhan, Adilbek; Pusateri, Fabio Asymptotic stability near the soliton for quartic Klein-Gordon equation in 1D. (English) Zbl 07787347 Pure Appl. Anal. 5, No. 4, 795-832 (2023). MSC: 35B40 35C08 35L71 35P25 35Q55 42B37 43A32 PDFBibTeX XMLCite \textit{A. Kairzhan} and \textit{F. Pusateri}, Pure Appl. Anal. 5, No. 4, 795--832 (2023; Zbl 07787347) Full Text: DOI
Lu, Yufeng Local smoothing estimates of fractional Schrödinger equations in \(\alpha\)-modulation spaces with some applications. (English) Zbl 1518.35638 J. Evol. Equ. 23, No. 2, Paper No. 38, 32 p. (2023). MSC: 35R11 35B45 35Q41 35Q55 42B37 PDFBibTeX XMLCite \textit{Y. Lu}, J. Evol. Equ. 23, No. 2, Paper No. 38, 32 p. (2023; Zbl 1518.35638) 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
Wang, Ming; Li, Ze; Huang, Shanlin Unique continuation inequalities for nonlinear Schrödinger equations based on uncertainty principles. (English) Zbl 1514.35415 Indiana Univ. Math. J. 72, No. 1, 133-164 (2023). MSC: 35Q55 35Q41 39A12 42B10 PDFBibTeX XMLCite \textit{M. Wang} et al., Indiana Univ. Math. J. 72, No. 1, 133--164 (2023; Zbl 1514.35415) Full Text: DOI
Shen, Jia; Soffer, Avy; Wu, Yifei Almost sure well-posedness and scattering of the 3D cubic nonlinear Schrödinger equation. (English) Zbl 1512.35551 Commun. Math. Phys. 397, No. 2, 547-605 (2023). MSC: 35Q55 35Q41 35P25 35A01 35A02 42B25 35R60 PDFBibTeX XMLCite \textit{J. Shen} et al., Commun. Math. Phys. 397, No. 2, 547--605 (2023; Zbl 1512.35551) Full Text: DOI arXiv
Rozendaal, Jan; Schippa, Robert Nonlinear wave equations with slowly decaying initial data. (English) Zbl 1512.42037 J. Differ. Equations 350, 152-188 (2023). Reviewer: Chengbo Wang (Hangzhou) MSC: 42B35 35L05 35B45 PDFBibTeX XMLCite \textit{J. Rozendaal} and \textit{R. Schippa}, J. Differ. Equations 350, 152--188 (2023; Zbl 1512.42037) 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
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
Schippa, Robert On smoothing estimates in modulation spaces and the nonlinear Schrödinger equation with slowly decaying initial data. (English) Zbl 1482.35056 J. Funct. Anal. 282, No. 5, Article ID 109352, 46 p. (2022). Reviewer: Rainer Mandel (Karlsruhe) MSC: 35B45 35Q41 35Q55 42B37 PDFBibTeX XMLCite \textit{R. Schippa}, J. Funct. Anal. 282, No. 5, Article ID 109352, 46 p. (2022; Zbl 1482.35056) 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
Beckner, William Symmetry in Fourier analysis: Heisenberg group to Stein-Weiss integrals. (English) Zbl 1471.42018 J. Geom. Anal. 31, No. 7, 7008-7035 (2021). MSC: 42B10 35A15 58J70 PDFBibTeX XMLCite \textit{W. Beckner}, J. Geom. Anal. 31, No. 7, 7008--7035 (2021; Zbl 1471.42018) Full Text: DOI
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
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
Donninger, Roland; Glogić, Irfan Strichartz estimates for the one-dimensional wave equation. (English) Zbl 1440.35019 Trans. Am. Math. Soc. 373, No. 6, 4051-4083 (2020). MSC: 35B45 35L05 35R01 53C07 42B37 PDFBibTeX XMLCite \textit{R. Donninger} and \textit{I. Glogić}, Trans. Am. Math. Soc. 373, No. 6, 4051--4083 (2020; Zbl 1440.35019) Full Text: DOI arXiv
Chen, Gong Wave equations with moving potentials. (English) Zbl 1439.35312 Commun. Math. Phys. 375, No. 2, 1503-1560 (2020). MSC: 35L05 35L15 42B37 35C08 35B35 PDFBibTeX XMLCite \textit{G. Chen}, Commun. Math. Phys. 375, No. 2, 1503--1560 (2020; Zbl 1439.35312) Full Text: DOI arXiv
Kopylova, Elena; Komech, Alexander Global attractor for 1D Dirac field coupled to nonlinear oscillator. (English) Zbl 1437.35600 Commun. Math. Phys. 375, No. 1, 573-603 (2020). MSC: 35Q41 35B41 35C08 35B40 42A38 35B32 35B05 35P30 PDFBibTeX XMLCite \textit{E. Kopylova} and \textit{A. Komech}, Commun. Math. Phys. 375, No. 1, 573--603 (2020; Zbl 1437.35600) 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
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
Brzeźniak, Zdzisław; Hornung, Fabian; Weis, Lutz Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space. (English) Zbl 1420.35276 Probab. Theory Relat. Fields 174, No. 3-4, 1273-1338 (2019). MSC: 35Q41 35R60 60H15 60H30 42B25 PDFBibTeX XMLCite \textit{Z. Brzeźniak} et al., Probab. Theory Relat. Fields 174, No. 3--4, 1273--1338 (2019; Zbl 1420.35276) Full Text: DOI arXiv
Tarulli, Mirko Well-posedness for nonlinear wave equation with potentials vanishing at infinity. (English) Zbl 1432.35143 J. Fourier Anal. Appl. 24, No. 4, 1000-1036 (2018). Reviewer: Chengbo Wang (Hangzhou) MSC: 35L71 42B20 42B25 PDFBibTeX XMLCite \textit{M. Tarulli}, J. Fourier Anal. Appl. 24, No. 4, 1000--1036 (2018; Zbl 1432.35143) Full Text: DOI
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
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
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
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
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
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
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
Ahn, Cheonghee; Cho, Yonggeun Lorentz space extension of Strichartz estimates. (English) Zbl 1131.35007 Proc. Am. Math. Soc. 133, No. 12, 3497-3503 (2005). MSC: 35J10 42B25 PDFBibTeX XMLCite \textit{C. Ahn} and \textit{Y. Cho}, Proc. Am. Math. Soc. 133, No. 12, 3497--3503 (2005; Zbl 1131.35007) Full Text: DOI
Herbst, Ira; Skibsted, Erik Free channel Fourier transform in the long-range \(N\)-body problem. (English) Zbl 0866.70008 J. Anal. Math. 65, 297-332 (1995). Reviewer: B.D.Jovanović (Novi Sad) MSC: 70F10 81V70 42B10 PDFBibTeX XMLCite \textit{I. Herbst} and \textit{E. Skibsted}, J. Anal. Math. 65, 297--332 (1995; Zbl 0866.70008) Full Text: DOI