Yu, Xueying; Yue, Haitian; Zhao, Zehua Global well-posedness and scattering for fourth-order Schrödinger equations on waveguide manifolds. (English) Zbl 07809895 SIAM J. Math. Anal. 56, No. 1, 1427-1458 (2024). MSC: 35Q55 35Q41 35C08 35R01 37K06 37L50 35P25 35B40 35A01 35A02 PDFBibTeX XMLCite \textit{X. Yu} et al., SIAM J. Math. Anal. 56, No. 1, 1427--1458 (2024; Zbl 07809895) Full Text: DOI arXiv
Luo, Yongming On long time behavior of the focusing energy-critical NLS on \(\mathbb{R}^d\times\mathbb{T}\) via semivirial-vanishing geometry. (English. French summary) Zbl 1522.35472 J. Math. Pures Appl. (9) 177, 415-454 (2023). MSC: 35Q55 35Q41 35Q40 35Q51 49J40 35P25 35C08 35B32 35B44 78A60 78A50 35R01 PDFBibTeX XMLCite \textit{Y. Luo}, J. Math. Pures Appl. (9) 177, 415--454 (2023; Zbl 1522.35472) Full Text: DOI arXiv
Yu, Xueying; Yue, Haitian; Zhao, Zehua On the decay property of the cubic fourth-order Schrödinger equation. (English) Zbl 1512.35559 Proc. Am. Math. Soc. 151, No. 6, 2619-2630 (2023). MSC: 35Q55 35Q41 35R01 37K06 37L50 35B65 PDFBibTeX XMLCite \textit{X. Yu} et al., Proc. Am. Math. Soc. 151, No. 6, 2619--2630 (2023; Zbl 1512.35559) Full Text: DOI arXiv
Yang, Kailong; Zhao, Zehua On scattering asymptotics for the 2D cubic resonant system. (English) Zbl 1504.35505 J. Differ. Equations 345, 447-484 (2023). MSC: 35Q55 35Q41 35R01 37K06 37L50 35A01 35A02 35B06 PDFBibTeX XMLCite \textit{K. Yang} and \textit{Z. Zhao}, J. Differ. Equations 345, 447--484 (2023; Zbl 1504.35505) Full Text: DOI arXiv
Barron, Alex On global-in-time Strichartz estimates for the semiperiodic Schrödinger equation. (English) Zbl 1476.35227 Anal. PDE 14, No. 4, 1125-1152 (2021). MSC: 35Q55 42B37 42B25 35A01 35A02 35R01 PDFBibTeX XMLCite \textit{A. Barron}, Anal. PDE 14, No. 4, 1125--1152 (2021; Zbl 1476.35227) Full Text: DOI arXiv
Zhao, Zehua; Zheng, Jiqiang Long time dynamics for defocusing cubic nonlinear Schrödinger equations on three dimensional product space. (English) Zbl 1473.35520 SIAM J. Math. Anal. 53, No. 3, 3644-3660 (2021). MSC: 35Q55 35R01 58J50 47A40 PDFBibTeX XMLCite \textit{Z. Zhao} and \textit{J. Zheng}, SIAM J. Math. Anal. 53, No. 3, 3644--3660 (2021; Zbl 1473.35520) Full Text: DOI arXiv
Yu, Xueying; Yue, Haitian; Zhao, Zehua Global well-posedness for the focusing cubic NLS on the product space \(\mathbb{R} \times \mathbb{T}^3\). (English) Zbl 1464.35334 SIAM J. Math. Anal. 53, No. 2, 2243-2274 (2021). MSC: 35Q55 35R01 58J50 47A40 35A01 35A02 PDFBibTeX XMLCite \textit{X. Yu} et al., SIAM J. Math. Anal. 53, No. 2, 2243--2274 (2021; Zbl 1464.35334) Full Text: DOI arXiv
Barron, Alexander; Christ, Michael; Pausader, Benoit Global endpoint Strichartz estimates for Schrödinger equations on the cylinder \(\mathbb{R} \times \mathbb{T}\). (English) Zbl 1462.35345 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 206, Article ID 112172, 8 p. (2021). MSC: 35Q55 28A50 PDFBibTeX XMLCite \textit{A. Barron} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 206, Article ID 112172, 8 p. (2021; Zbl 1462.35345) Full Text: DOI arXiv
Cheng, Xing; Zhao, Zehua; Zheng, Jiqiang Well-posedness for energy-critical nonlinear Schrödinger equation on waveguide manifold. (English) Zbl 1458.35384 J. Math. Anal. Appl. 494, No. 2, Article ID 124654, 14 p. (2021). MSC: 35Q55 78A50 35A01 35A02 PDFBibTeX XMLCite \textit{X. Cheng} et al., J. Math. Anal. Appl. 494, No. 2, Article ID 124654, 14 p. (2021; Zbl 1458.35384) Full Text: DOI arXiv
Cheng, Xing Scattering for the mass super-critical perturbations of the mass critical nonlinear Schrödinger equations. (English) Zbl 1435.35344 Ill. J. Math. 64, No. 1, 21-48 (2020). MSC: 35Q55 35Q41 35L70 35P25 35A01 35A02 PDFBibTeX XMLCite \textit{X. Cheng}, Ill. J. Math. 64, No. 1, 21--48 (2020; Zbl 1435.35344) Full Text: DOI arXiv Euclid