Cheng, Xing; Guo, Zihua; Yang, Kailong; Zhao, Lifeng On scattering for the cubic defocusing nonlinear Schrödinger equation on the waveguide \(\mathbb{R}^2 \times \mathbb{T}\). (English) Zbl 1462.35349 Rev. Mat. Iberoam. 36, No. 4, 985-1011 (2020). MSC: 35Q55 35Q41 78A60 78A50 78A45 35L71 PDFBibTeX XMLCite \textit{X. Cheng} et al., Rev. Mat. Iberoam. 36, No. 4, 985--1011 (2020; Zbl 1462.35349) Full Text: DOI arXiv
Cazenave, Thierry; Martel, Yvan; Zhao, Lifeng Solutions with prescribed local blow-up surface for the nonlinear wave equation. (English) Zbl 1437.35494 Adv. Nonlinear Stud. 19, No. 4, 639-675 (2019). MSC: 35L71 35L15 35B44 35B40 PDFBibTeX XMLCite \textit{T. Cazenave} et al., Adv. Nonlinear Stud. 19, No. 4, 639--675 (2019; Zbl 1437.35494) Full Text: DOI arXiv
Yang, Kailong; Zhao, Lifeng Global well-posedness and scattering for mass-critical, defocusing, infinite dimensional vector-valued resonant nonlinear Schrödinger system. (English) Zbl 1428.35541 SIAM J. Math. Anal. 50, No. 2, 1593-1655 (2018). MSC: 35Q55 PDFBibTeX XMLCite \textit{K. Yang} and \textit{L. Zhao}, SIAM J. Math. Anal. 50, No. 2, 1593--1655 (2018; Zbl 1428.35541) 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
Cheng, Xing; Miao, Changxing; Zhao, Lifeng Global well-posedness and scattering for nonlinear Schrödinger equations with combined nonlinearities in the radial case. (English) Zbl 1350.35180 J. Differ. Equations 261, No. 6, 2881-2934 (2016). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35L70 35B44 35P25 PDFBibTeX XMLCite \textit{X. Cheng} et al., J. Differ. Equations 261, No. 6, 2881--2934 (2016; Zbl 1350.35180) Full Text: DOI arXiv
Miao, Changxing; Xu, Guixiang; Zhao, Lifeng The dynamics of the 3D radial NLS with the combined terms. (English) Zbl 1260.35209 Commun. Math. Phys. 318, No. 3, 767-808 (2013). MSC: 35Q55 35B44 35P25 PDFBibTeX XMLCite \textit{C. Miao} et al., Commun. Math. Phys. 318, No. 3, 767--808 (2013; Zbl 1260.35209) Full Text: DOI arXiv
Miao, Changxing; Xu, Guixiang; Zhao, Lifeng Global well-posedness and scattering for the energy-critical, defocusing Hartree equation in \(\mathbb R^{1+n}\). (English) Zbl 1252.35235 Commun. Partial Differ. Equations 36, No. 4-6, 729-776 (2011). MSC: 35Q40 35Q55 47J35 35B44 PDFBibTeX XMLCite \textit{C. Miao} et al., Commun. Partial Differ. Equations 36, No. 4--6, 729--776 (2011; Zbl 1252.35235) Full Text: DOI arXiv
Miao, Changxing; Xu, Guixiang; Zhao, Lifeng Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equations of fourth order in dimensions \(d\geqslant 9\). (English) Zbl 1241.35190 J. Differ. Equations 251, No. 12, 3381-3402 (2011). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q55 35Q40 47J35 PDFBibTeX XMLCite \textit{C. Miao} et al., J. Differ. Equations 251, No. 12, 3381--3402 (2011; Zbl 1241.35190) Full Text: DOI arXiv
Miao, Changxing; Xu, Guixiang; Zhao, Lifeng Global well-posedness and scattering for the focusing energy-critical nonlinear Schrödinger equations of fourth order in the radial case. (English) Zbl 1173.35117 J. Differ. Equations 246, No. 9, 3715-3749 (2009). MSC: 35Q55 81U99 PDFBibTeX XMLCite \textit{C. Miao} et al., J. Differ. Equations 246, No. 9, 3715--3749 (2009; Zbl 1173.35117) Full Text: DOI arXiv
Miao, Changxing; Xu, Guixiang; Zhao, Lifeng Global well-posedness and scattering for the mass-critical Hartree equation with radial data. (English) Zbl 1154.35078 J. Math. Pures Appl. (9) 91, No. 1, 49-79 (2009). MSC: 35Q40 35Q55 47J35 PDFBibTeX XMLCite \textit{C. Miao} et al., J. Math. Pures Appl. (9) 91, No. 1, 49--79 (2009; Zbl 1154.35078) Full Text: DOI arXiv
Miao, Changxing; Xu, Guixiang; Zhao, Lifeng Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data. (English) Zbl 1136.35092 J. Funct. Anal. 253, No. 2, 605-627 (2007). Reviewer: Ricardo Weder (México City) MSC: 35Q55 35P25 PDFBibTeX XMLCite \textit{C. Miao} et al., J. Funct. Anal. 253, No. 2, 605--627 (2007; Zbl 1136.35092) Full Text: DOI arXiv