Xing Cheng, Zihua Guo, Gyeongha Hwang and Haewon Yoon. Global well-posedness and scattering of the two dimensional cubic focusing nonlinear Schrödinger system, J. Differential Equations 433, 113225, 2025.
Zijun Chen, Zihua Guo and Chuanyan Huang. Complex-valued solutions of the mKdV equations in generalized Fourier-Lebesgue spaces, Proc. Amer. Math. Soc. 153, no. 4, 1621–1640, 2025.
Xing Cheng, Chang-Yu Guo, Zihua Guo, Xian Liao and Jia Shen. Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials, Anal. PDE 17, no. 10, 3371-3446, 2024.
Yanping Chen, Zihua Guo, and Tian Tian. A uniform Besov boundedness and the well-posedness of the generalized dissipative quasi-geostrophic equation in the critical Besov space. Forum Math., 36(2):403–416, 2024.
Xianghong Chen, Zihua Guo, Minxing Shen, and Lixin Yan. On smoothing estimates for Schrodinger equations on product spaces Tm*Rn. J. Funct. Anal., 286(4):Paper No. 110262, 17, 2024.
Yanping Chen and Zihua Guo. Uniform sparse domination and quantitative weighted boundedness for singular integrals and application to the dissipative quasi-geostrophic equation. J. Differential Equations, 378:871–917, 2024.
Xing Cheng, Zihua Guo, and Satoshi Masaki. Scattering for the mass-critical nonlinear Klein-Gordon equations in three and higher dimensions. Vietnam J. Math., 51(4):869–909, 2023.
Zihua Guo, Chunyan Huang, and Liang Song. Pointwise decay of solutions to the energy critical nonlinear Schrödinger equations. J. Differential Equations, 366:71–84, 2023.
Yanping Chen and Zihua Guo. Generalized singular integral with rough kernel and approximation of surface quasi-geostrophic equation. J. Differential Equations, 346:205–228, 2023.
Zihua Guo and Chunyan Huang. Well-posedness of the modified dispersion-generalized Benjamin-Ono equations in modulation spaces. J. Math. Anal. Appl., 509(1):Paper No. 125933, 20, 2022.
Zihua Guo and Kenji Nakanishi. The Zakharov system in 4D radial energy space below the ground state. Amer. J. Math., 143(5):1527–1600, 2021.
Yanping Chen and Zihua Guo. An extension of Calderón-Zygmund type singular integral with non-smooth kernel. J. Funct. Anal., 281(9):Paper No. 109196, 21, 2021.
Zihua Guo and Kuijie Li. Remarks on the well-posedness of the Euler equations in the Triebel-Lizorkin spaces. J. Fourier Anal. Appl., 27(2):Paper No. 29, 24, 2021.
Tyler Bongers, Zihua Guo, Ji Li, and Brett D. Wick. Commutators of Hilbert transforms along monomial curves. Studia Math., 257(3):295–311, 2021.
Xing Cheng, Zihua Guo, and Zehua Zhao. On Scattering for the Defocusing Quintic Non- linear Schrödinger Equation on the Two-Dimensional Cylinder. SIAM J. Math. Anal., 52(5):4185–4237, 2020.
Zihua Guo and Jia Shen. Scattering below the ground state for the 2D non-linear Schrödinger and Klein–Gordon equations revisited. J. Math. Phys., 61(8):081507, 20, 2020.
Xing Cheng, Zihua Guo, Kailong Yang, and Lifeng Zhao. On scattering for the cubic defocusing nonlinear Schrödinger equation on the waveguide R2 × T. Rev. Mat. Iberoam., 36(4):985–1011, 2020.
Zihua Guo, Cui Ning, and Yifei Wu. Instability of the solitary wave solutions for the generalized derivative nonlinear Schrödinger equation in the critical frequency case. Math. Res. Lett., 27(2):339–375, 2020.
Zihua Guo and Jia Shen. Scattering for the quadratic Klein-Gordon equations. NoDEA Nonlinear Differential Equations Appl., 27(3):Paper No. 31, 33, 2020.
Zihua Guo, Xiaolong Han, and Melissa Tacy. Lp bilinear quasimode estimates. J. Geom. Anal., 29(3):2242–2289, 2019.
Zihua Guo, Xiaochuan Liu, Xingxing Liu, and Changzheng Qu. Stability of peakons for the generalized modified Camassa-Holm equation. J. Differential Equations, 266(12):7749–7779, 2019.
Zihua Guo, Jinlu Li, and Zhaoyang Yin. Local well-posedness of the incompressible Euler equations in B∞1 ,1 and the inviscid limit of the Navier-Stokes equations. J. Funct. Anal., 276(9):2821–2830, 2019.
Zihua Guo, Xingxing Liu, Luc Molinet, and Zhaoyang Yin. Ill-posedness of the Camassa-Holm and related equations in the critical space. J. Differential Equations, 266(2-3):1698– 1707, 2019.
Zihua Guo, Yannick Sire, Yuzhao Wang, and Lifeng Zhao. On the energy-critical fractional Schrödinger equation in the radial case. Dyn. Partial Differ. Equ., 15(4):265–282, 2018.
Zihua Guo, Ji Li, Kenji Nakanishi, and Lixin Yan. On the boundary Strichartz estimates for wave and Schrödinger equations. J. Differential Equations, 265(11):5656–5675, 2018.
Zihua Guo and Tadahiro Oh. Non-existence of solutions for the periodic cubic NLS below L2. Int. Math. Res. Not. IMRN, (6):1656–1729, 2018.
Zihua Guo, Zaher Hani, and Kenji Nakanishi. Scattering for the 3D Gross-Pitaevskii equation. Comm. Math. Phys., 359(1):265–295, 2018.
Jaywan Chung, Zihua Guo, Soonsik Kwon, and Tadahiro Oh. Normal form approach to global well-posedness of the quadratic derivative nonlinear Schrödinger equation on the circle. Ann. Inst. H. Poincaré Anal. Non Linéaire, 34(5):1273–1297, 2017.
Zihua Guo and Chunyan Huang. The inviscid limit for the Landau-Lifshitz-Gilbert equation in the critical Besov space. Sci. China Math., 60(11):2155–2172, 2017.
Zihua Guo and Yifei Wu. Global well-posedness for the derivative nonlinear Schrödinger equation in H 1/2 (R). Discrete Contin. Dyn. Syst., 37(1):257–264, 2017.
Zihua Guo. Spherically averaged maximal function and scattering for the two-dimensional cubic derivative Schrödinger equation. Int. Math. Res. Not. IMRN, (20):6210–6244, 2016.
Zihua Guo. Sharp spherically averaged Strichartz estimates for the Schrödinger equation. Nonlinearity, 29(5):1668–1686, 2016.
Ioan Bejenaru, Zihua Guo, Sebastian Herr, and Kenji Nakanishi. Well-posedness and scattering for the Zakharov system in four dimensions. Anal. PDE, 8(8):2029–2055, 2015.
Yonggeun Cho, Zihua Guo, and Sanghyuk Lee. A Sobolev estimate for the adjoint restriction operator. Math. Ann., 362(3-4):799–815, 2015.
Zihua Guo and Yuzhao Wang. Improved Strichartz estimates for a class of dispersive equa- tions in the radial case and their applications to nonlinear Schrödinger and wave equations. J. Anal. Math., 124:1–38, 2014.
Zihua Guo, Tadahiro Oh, and Yuzhao Wang. Strichartz estimates for Schrödinger equations on irrational tori. Proc. Lond. Math. Soc. (3), 109(4):975–1013, 2014.
Zihua Guo, Kenji Nakanishi, and Shuxia Wang. Small energy scattering for the Klein- Gordon-Zakharov system with radial symmetry. Math. Res. Lett., 21(4):733–755, 2014.
Zihua Guo, Sanghyuk Lee, Kenji Nakanishi, and Chengbo Wang. Generalized Strichartz estimates and scattering for 3D Zakharov system. Comm. Math. Phys., 331(1):239–259, 2014.
Zihua Guo and Kenji Nakanishi. Small energy scattering for the Zakharov system with radial symmetry. Int. Math. Res. Not. IMRN, (9):2327–2342, 2014.
Zihua Guo, Kenji Nakanishi, and Shuxia Wang. Global dynamics below the ground state energy for the Klein-Gordon-Zakharov system in the 3D radial case. Comm. Partial Differ- ential Equations, 39(6):1158–1184, 2014.
Zihua Guo, Yiquan Lin, and Luc Molinet. Well-posedness in energy space for the periodic modified Banjamin-Ono equation. J. Differential Equations, 256(8):2778–2806, 2014.
Zihua Guo, Nakao Hayashi, Yiquan Lin, and Pavel I. Naumkin. Modified scattering operator for the derivative nonlinear Schrödinger equation. SIAM J. Math. Anal., 45(6):3854–3871, 2013.
Zihua Guo, Chulkwang Kwak, and Soonsik Kwon. Rough solutions of the fifth-order KdV equations. J. Funct. Anal., 265(11):2791–2829, 2013.
Zihua Guo, Soonsik Kwon, and Tadahiro Oh. Poincaré-Dulac normal form reduction for unconditional well-posedness of the periodic cubic NLS. Comm. Math. Phys., 322(1):19–48, 2013.
Zihua Guo, Kenji Nakanishi, and Shuxia Wang. Global dynamics below the ground state energy for the Zakharov system in the 3D radial case. Adv. Math., 238:412–441, 2013.
Zihua Guo. Local well-posedness for dispersion generalized Benjamin-Ono equations in Sobolev spaces. J. Differential Equations, 252(3):2053–2084, 2012.
Wengu Chen and Zihua Guo. Global well-posedness and I method for the fifth order Korteweg-de Vries equation. J. Anal. Math., 114:121–156, 2011.
Zihua Guo. Local well-posedness and a priori bounds for the modified Benjamin-Ono equation. Adv. Differential Equations, 16(11-12):1087–1137, 2011.
W. Chen, Z. Guo, and J. Xiao. Sharp well-posedness for the Benjamin equation. Nonlinear Anal., 74(17):6209–6230, 2011.
Zihua Guo, Lizhong Peng, Baoxiang Wang, and Yuzhao Wang. Uniform well-posedness and inviscid limit for the Benjamin-Ono-Burgers equation. Adv. Math., 228(2):647–677, 2011.
Zihua Guo and Zhaoyang Yin. A class of function spaces and its application in solving second-order nonlinear differential equations. Nonlinear Anal., 74(7):2750–2757, 2011.
Zihua Guo, Lizhong Peng, and Baoxiang Wang. On the local regularity of the KP-I equation in anisotropic Sobolev space. J. Math. Pures Appl. (9), 94(4):414–432, 2010.
Zihua Guo and Yuzhao Wang. On the well-posedness of the Schrödinger-Korteweg-de Vries system. J. Differential Equations, 249(10):2500–2520, 2010.
Wengu Chen, Zihua Guo, and Zeping Liu. Sharp local well-posedness for a fifth-order shallow water wave equation. J. Math. Anal. Appl., 369(1):133–143, 2010.
Zihua Guo. Global well-posedness of Korteweg-de Vries equation in H−3/4(R). J. Math. Pures Appl. (9), 91(6):583–597, 2009.
Zihua Guo and Baoxiang Wang. Global well-posedness and inviscid limit for the Korteweg-de Vries-Burgers equation. J. Differential Equations, 246(10):3864–3901, 2009.
Zihua Guo, Lizhong Peng, and Baoxiang Wang. Decay estimates for a class of wave equations. J. Funct. Anal., 254(6):1642–1660, 2008.
Zihua Guo, Pengtao Li, and Lizhong Peng. Lp boundedness of commutators of Riesz trans- forms associated to Schrödinger operator. J. Math. Anal. Appl., 341(1):421–432, 2008.
Zihua Guo and Lizhong Peng. Endpoint Strichartz estimate for the kinetic transport equation in one dimension. C. R. Math. Acad. Sci. Paris, 345(5):253–256, 2007.
Baoxiang Wang, Zhaohui Huo, Chengchun Hao, and Zihua Guo. Harmonic analysis method for nonlinear evolution equations. I. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2011.