Most of my paper can be downloaded at Math.Arxiv. My Google Scholar page is here.
(Last update: 2018.7)Title | Co-authors | |
42 | Z. Guo, X. Liu, L. Molinet, Z. Yin, Ill-posedness of the Camassa-Holm and related equations in the critical space, to appear JDE | Xingxing Liu, Luc Molinet, Zhaoyang Yin |
41 | Z. Guo, J. Li, K. Nakanishi, L. Yan, On the boundary Strichartz estimates for wave and Schrodinger equations, to appear JDE | Ji Li, Kenji Nakanishi, Lixin Yan |
40 | Z. Guo, C. Ning, Y. Wu, Instability of the solitary wave solutions for the genenalized derivative Nonlinear Schrödinger equation in the critical frequency case | Cui Ning, Yifei Wu |
39 | X. Cheng, Z. Guo, K. Yang and L. Zhao, On scattering for the cubic defocusing nonlinear Schrödinger equation on waveguide $R^2\times T$ | Xing Cheng, Kailong Yang, Lifeng Zhao |
38 | Z. Guo, J. Li and Z. Yin, Local well-posedness of the incompressible Euler equations in $B^1_{\infty,1}$ and the inviscid limit of the Navier-Stokes equations, to appear JFA | Jinlu Li, Zhaoyang Yin |
37 | Z. Guo, Z. Hani and K. Nakanishi, Scattering for the 3D Gross-Pitaevskii equation, Comm. Math. Phys., 359(1) (2018):265–295. | Zaher Hani, Kenji Nakanishi |
36 | X. Duong, Z. Guo, J. Li and D. Yang, A Moser type inequality for Bessel Laplace equations and applications, unpublished. arXiv:1607.04101 | Xuan Thinh Duong, Ji Li, Dongyong Yang |
35 | Z. Guo and Y. Wu, Global well-posedness for the derivative nonlinear Schrodinger equation in H^{1/2}(R), Disc. Cont. Dyn. Sys., 37 (2017), no. 1, 257-264. | Yifei Wu |
34 | Z. Guo and C. Huang, The inviscid limit for the Landau-Lifshitz equations, Sci. China Math. 60 (2017), no. 11, 2155-2172. | Chunyan Huang |
33 | Z. Guo, X. Han and M. Tacy, Lp bilinear quasimode estimates, submitted. | Xiaolong Han, Melissa Tacy |
32 | Z. Guo and T. Oh, Non-existence of solutions for the periodic cubic NLS below $L^2$, Int. Math. Res. Not. IMRN, (6) (2018):1656–1729. | Tadahiro Oh |
31 | J. Chung, Z. Guo, S. Kwon and T. Oh, Normal form approach to global well-posedness of the quadratic derivative Schrödinger equation on the circle, Ann. Inst. H. Poincaré Anal. Non Linéaire, 34(5) (2017):1273–1297. | Jaywan Chung, Soonsik Kwon, Tadahiro Oh |
30 | I. Bejenaru, Z. Guo, S. Herr and K. Nakanishi, Well-posedness and scattering for the Zakharov system in four dimensions, Analysis & PDE 8-8 (2015), 2029-2055. | Ioan Bejenaru, Sebastian Herr, Kenji Nakanishi |
29 | Z. Guo, Sharp spherically averaged Strichartz estimates for the Schrodinger equation, Nonlinearity 29 (2016) 1668–1686. | |
28 | Z. Guo, Spherically averaged maximal function and scattering for the 2d cubic derivative Schrodinger equation, Int. Math. Res. Not. IMRN, (20) (2016):6210–6244. | |
27 | Z. Guo, Y. Sire, Y. Wang and L. Zhao, On the energy-critical fractional Schrodinger equation in the radial case | Yannick Sire, Yuzhao Wang, Lifeng Zhao |
26 | Y. Cho, Z. Guo, and S. Lee, A Sobolev estimate for the adjoint restriction operator, Math. Ann. 362 (3), (2015), 799-815. | Yonggeun Cho, Sanghyuk Lee |
25 | Z. Guo, T. Oh and Y. Wang, Strichartz estimates for Schrodinger equations on irrational tori, Proc. London Math. Soc. 109 (4), (2014), 975-1013. | Tadahiro Oh, Yuzhao Wang |
24 | Z. Guo, S. Lee, K. Nakanishi and C. Wang, Generalized Strichartz estimates and scattering for 3D Zakharov system, Comm. Math. Phy. 331 (2014), NO. 1, 239-259. | Sanghyuk Lee, Kenji Nakanishi, Chengbo Wang |
23 | Z. Guo, K. Nakanishi and S. Wang, Global dynamics below the ground state energy for the Klein-Gordon-Zakharov system in the 3D radial case, Comm. PDE, 39 (2014) 1158-1184. | Kenji Nakanishi, Shuxia Wang |
22 | Z. Guo, Y. Lin and L. Molinet, Well-posedness in energy space for the periodic modified Benjamin-Ono equation, J. Differential Equations 256 (2014) 2778-2806. | Yiquan Lin, Luc Molinet |
21 | Z. Guo, K. Nakanishi and S. Wang, Small energy scattering for the Klein-Gordon-Zakharov system with radial symmetry, Math. Res. Let., 21 (4), (2014) 733-755. | Kenji Nakanishi, Shuxia Wang |
20 | Z. Guo and Y. Wang, Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schrodinger and wave equation, J. Anal. Math., 124 (1), 2014, pp 1-38 | Yuzhao Wang |
19 | Z. Guo, N. Hayashi, Y. Lin and P. I. Naumkin, Modified scattering operator for the derivative nonlinear Schrodinger equation, Siam J. Math. Anal., 45 (6), 2013, 3854-3871. | Nakao Hayashi, Yiquan Lin, Pavel I. Naumkin |
18 | Z. Guo, K. Nakanishi and S. Wang, Global dynamics below the ground state energy for the Zakharov system in the 3D radial case, Advances in Mathematics 238 (2013) 412-441. | Kenji Nakanishi, Shuxia Wang |
17 | Z. Guo, C. Kwak and S. Kwon, Rough solutions of the fifth-order KdV equations, J. Funct. Anal., 265 (11) 2013, 2791-2829. | Chulkwang Kwak, Soonsik Kwon |
16 | Z. Guo and K. Nakanishi, Small energy scattering for the Zakharov system with radial symmetry, Int. Math. Res. Notices (2013) doi: 10.1093/imrn/rns296. | Kenji Nakanishi |
15 | Z. Guo, S. Kwon and T. Oh, Poincare-Dulac normal form reduction for unconditional well-posedness of the periodic cubic NLS, Comm. Math. Phy. 322 (2013), no. 1, pp 19-48. | Soonsik Kwon, Tadahiro Oh |
14 | Z. Guo, Local well-posedness for dispersion generalized Benjamin-Ono equations in Sobolev spaces, J. Differential Equations 252 (2012) 2053-2084 | |
13 | W. Chen, Z. Guo and J. Xiao, Sharp well-posedness for the Benjamin Equation, Nonlinear Analysis 74 (2011) 6209-6230. | Wengu Chen, Jie Xiao |
12 | Z. Guo, L. Peng, B. Wang and Y. Wang, Uniform well-posedness and inviscid limit for the Benjamin-Ono-Burgers equation, Advances in Mathematics 228 (2011) 647-677. |
Lizhong Peng, Baoxiang Wang, Yuzhao Wang |
11 | Z. Guo and Z. Yin, A class of function spaces and its application in solving second-order nonlinear differential equations, Nonlinear Analysis 74 (2011) 2750-2757. | Zhaoyang Yin |
10 | W. Chen and Z. Guo, Global well-posedness and I-method for the fifth-order Korteweg-de Vries equation, J. Anal. Math. 114 (2011) 121-156. | Wengu Chen |
9 | Z. Guo, Local wellposedness and a priori bounds for the modified Benjamin-Ono equation, Advances in Differential Equations, 16/11-12 (2011), 1087-1137. | |
8 | Z. Guo and Y. Wang, On the well-posedness of the Schr\"{o}dinger-Korteweg-de Vries system, J. Differential Equations 249 (2010) 2500-2520. | Yuzhao Wang |
7 | W. Chen, Z. Guo and Z. Liu, Sharp local well-posedness for a fifth-order shallow water wave equation, J. Math. Anal. Appl. 369 (2010) 133-143 | Wengu Chen, Zeping Liu |
6 | Z. Guo, L. Peng and B. Wang, On the local regularity of the KP-I equation in anisotropic Sobolev space, J. Math. Pures Appl. 94 (2010) 414-432. | Lizhong Peng, Baoxiang Wang |
5 | Z. Guo, Global well-posedness of Korteweg-de Vries equation in $H^{-3/4}(\R)$,J. Math. Pures Appl. 91 (2009) 583-597. | |
4 | Z. Guo and B. Wang, Global well posedness and inviscid limit for the Korteweg-de Vries-Burgers equation, J. Differential Equations 246 (2009) 3864-3901. | Baoxiang Wang |
3 | Z. Guo, L. Peng and B. Wang, Decay estimates for a class of wave equations, Journal of Functional Analysis, 254/6 (2008) 1642-1660. | Lizhong Peng, Baoxiang Wang |
2 | Z. Guo, P. Li and L. Peng, $L^p$ Boundedness of Commutators of Riesz Transforms Associated to Schr\"{o}dinger Operator, J. Math. Anal. Appl. 341 (2008) 421-432. | Pengtao Li, Lizhong Peng |
1 | Z. Guo and L. Peng, Endpoint Strichartz Estimate For Kinetic Transport Equation In One Dimension, C. R. Acad. Sci. Paris, Ser. I 345 (2007) 253-256. | Lizhong Peng |