Edit Profile (opens in new tab) Zheng, Shijun Co-Author Distance Author ID: zheng.shijun Published as: Zheng, Shijun Further Spellings: Zheng, John S. Homepage: https://shijun-zheng.github.io/ External Links: MGP · Google Scholar Documents Indexed: 29 Publications since 1993, including 1 Book and 5 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 25 Co-Authors with 20 Joint Publications 879 Co-Co-Authors all top 5 Co-Authors 12 single-authored 2 Basharat, Nyla 2 Lee, Yongki 2 Ólafsson, Gestur 2 Zheng, Weixing 2 Zhu, Shihui 1 Beceanu, Marius 1 Benedetto, John Joseph 1 Bona, Jerry Lloyd 1 Galati, Luigi 1 Hajaiej, Hichem 1 Leonard, Christopher 1 Liu, Jianming 1 Luo, Tingjian 1 Nahmod, Andrea R. 1 Nguyen Cong Phuc 1 Phan, Tuoc Van 1 Secchi, Simone 1 Soffer, Avraham 1 Sogge, Christopher D. 1 Su, Weiyi 1 Wu, Huoxiong 1 Zhang, Jian 1 Zhang, Xiaoyi 1 Zhang, Zhenqiu 1 Zheng, Jiqiang all top 5 Serials 4 Analysis in Theory and Applications 2 Journal of Mathematical Analysis and Applications 2 Journal of Nanjing University. Mathematical Biquarterly 2 Approximation Theory and its Applications 2 Contemporary Mathematics 1 Illinois Journal of Mathematics 1 Journal of Nanjing University. Natural Sciences 1 Science in China. Series A 1 The Journal of Fourier Analysis and Applications 1 Annales Henri Poincaré 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Complex Analysis and Operator Theory 1 Journal of Function Spaces 1 Advances in Analysis and Geometry all top 5 Fields 23 Partial differential equations (35-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 6 Abstract harmonic analysis (43-XX) 3 General and overarching topics; collections (00-XX) 3 Functional analysis (46-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Fluid mechanics (76-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 18 Publications have been cited 65 times in 45 Documents Cited by ▼ Year ▼ Function spaces associated with Schrödinger operators: the Pöschl-Teller potential. Zbl 1119.42008 Ólafsson, Gestur; Zheng, Shijun 10 2006 Riesz type kernels over the ring of integers of a local field. Zbl 0883.43011 Zheng, Shijun 7 1997 Littlewood-Paley theorem for Schrödinger operators. Zbl 1133.35032 Zheng, Shijun 7 2006 Besov spaces for the Schrödinger operator with barrier potential. Zbl 1206.42020 Benedetto, John J.; Zheng, Shijun 7 2010 Fractional regularity for nonlinear Schrödinger equations with magnetic fields. Zbl 1320.35332 Zheng, Shijun 5 2012 Harmonic analysis related to Schrödinger operators. Zbl 1256.42031 Ólafsson, Gestur; Zheng, Shijun 5 2008 Strichartz estimates and local wellposedness for the Schrödinger equation with the twisted sub-Laplacian. Zbl 1230.35081 Zhang, Zhenqiu; Zheng, Shijun 3 2010 Cesàro summability of Hardy spaces on the ring of integers in a local field. Zbl 0965.42018 Zheng, Shijun 3 2000 A representation formula related to Schrödinger operators. Zbl 1075.34086 Zheng, Shijun 3 2004 Orbital stability of standing waves for fractional Hartree equation with unbounded potentials. Zbl 1423.35357 Zhang, Jian; Zheng, Shijun; Zhu, Shihui 3 2019 Spectral multipliers for Schrödinger operators. Zbl 1235.42008 Zheng, Shijun 2 2010 Threshold for blowup and stability for nonlinear Schrödinger equation with rotation. Zbl 1512.35529 Basharat, Nyla; Hajaiej, Hichem; Hu, Yi; Zheng, Shijun 2 2023 Blowup rate for mass critical rotational nonlinear Schrödinger equations. Zbl 1423.35348 Basharat, Nyla; Hu, Yi; Zheng, Shijun 2 2019 The existence and stability of normalized solutions for a bi-harmonic nonlinear Schrödinger equation with mixed dispersion. Zbl 1524.35200 Luo, Tingjian; Zheng, Shijun; Zhu, Shihui 2 2023 On Riesz type kernels over local fields. Zbl 0862.43004 Zheng, Shijun 1 1995 Interpolation theorems for self-adjoint operators. Zbl 1199.42118 Zheng, Shijun 1 2009 Time decay for Schrödinger equation with rough potentials. Zbl 1150.35365 Zheng, Shijun 1 2007 Nonlinear dispersive waves and fluids. AMS special sessions on spectral calculus and quasilinear partial differential equations, and PDE analysis on fluid flows, Atlanta, GA, USA, January 5–7, 2017. Zbl 1414.35005 1 2019 Threshold for blowup and stability for nonlinear Schrödinger equation with rotation. Zbl 1512.35529 Basharat, Nyla; Hajaiej, Hichem; Hu, Yi; Zheng, Shijun 2 2023 The existence and stability of normalized solutions for a bi-harmonic nonlinear Schrödinger equation with mixed dispersion. Zbl 1524.35200 Luo, Tingjian; Zheng, Shijun; Zhu, Shihui 2 2023 Orbital stability of standing waves for fractional Hartree equation with unbounded potentials. Zbl 1423.35357 Zhang, Jian; Zheng, Shijun; Zhu, Shihui 3 2019 Blowup rate for mass critical rotational nonlinear Schrödinger equations. Zbl 1423.35348 Basharat, Nyla; Hu, Yi; Zheng, Shijun 2 2019 Nonlinear dispersive waves and fluids. AMS special sessions on spectral calculus and quasilinear partial differential equations, and PDE analysis on fluid flows, Atlanta, GA, USA, January 5–7, 2017. Zbl 1414.35005 1 2019 Fractional regularity for nonlinear Schrödinger equations with magnetic fields. Zbl 1320.35332 Zheng, Shijun 5 2012 Besov spaces for the Schrödinger operator with barrier potential. Zbl 1206.42020 Benedetto, John J.; Zheng, Shijun 7 2010 Strichartz estimates and local wellposedness for the Schrödinger equation with the twisted sub-Laplacian. Zbl 1230.35081 Zhang, Zhenqiu; Zheng, Shijun 3 2010 Spectral multipliers for Schrödinger operators. Zbl 1235.42008 Zheng, Shijun 2 2010 Interpolation theorems for self-adjoint operators. Zbl 1199.42118 Zheng, Shijun 1 2009 Harmonic analysis related to Schrödinger operators. Zbl 1256.42031 Ólafsson, Gestur; Zheng, Shijun 5 2008 Time decay for Schrödinger equation with rough potentials. Zbl 1150.35365 Zheng, Shijun 1 2007 Function spaces associated with Schrödinger operators: the Pöschl-Teller potential. Zbl 1119.42008 Ólafsson, Gestur; Zheng, Shijun 10 2006 Littlewood-Paley theorem for Schrödinger operators. Zbl 1133.35032 Zheng, Shijun 7 2006 A representation formula related to Schrödinger operators. Zbl 1075.34086 Zheng, Shijun 3 2004 Cesàro summability of Hardy spaces on the ring of integers in a local field. Zbl 0965.42018 Zheng, Shijun 3 2000 Riesz type kernels over the ring of integers of a local field. Zbl 0883.43011 Zheng, Shijun 7 1997 On Riesz type kernels over local fields. Zbl 0862.43004 Zheng, Shijun 1 1995 all cited Publications top 5 cited Publications all top 5 Cited by 53 Authors 11 Zheng, Shijun 6 Behera, Biswaranjan 3 Gát, György 3 Jahan, Qaiser 2 Basharat, Nyla 2 Hajaiej, Hichem 2 Liu, Jianlun 2 Sohani, Vijay Kumar 2 Taniguchi, Koichi 2 Zhang, Ziheng 2 Zhou, Jun 1 Hernandez Ardila, Alex 1 Beceanu, Marius 1 Benedetto, John Joseph 1 Bouclet, Jean-Marc 1 Bui, Huy-Qui 1 D’Ancona, Piero 1 Duong, Xuan Thinh 1 Fu, Zunwei 1 Georgiev, Vladimir S. 1 Giammetta, Anna Rita 1 Goldberg, Michael Joseph 1 Gong, Shuli 1 Guan, Qingle 1 Guo, Zhao 1 He, Zhiqian 1 Huang, Yunqing 1 Iwabuchi, Tsukasa 1 Kriegler, Christoph 1 Kunstmann, Peer Christian 1 Leonard, Christopher 1 Li, Hepeng 1 Li, Lijuan 1 Liu, Hailiang 1 Liu, Xu 1 Lucskai, Gábor 1 Luo, Tingjian 1 Ma, Bolin 1 Matsuyama, Tokio 1 Miao, Liangying 1 Mizutani, Haruya 1 Pierfelice, Vittoria 1 Ricci, Fulvio 1 Sánchez, Duván Cardona 1 Stokols, Logan F. 1 Ullmann, Alexander 1 Vasseur, Alexis F. 1 Weis, Lutz W. 1 Yan, Lixin 1 Yi, Nianyu 1 Yuan, Xiaoping 1 Zheng, Yuxian 1 Zhu, Shihui all top 5 Cited in 35 Serials 5 Analysis in Theory and Applications 3 The Journal of Fourier Analysis and Applications 2 Journal of Mathematical Analysis and Applications 2 Acta Mathematica Hungarica 1 Analysis Mathematica 1 Archive for Rational Mechanics and Analysis 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Reports on Mathematical Physics 1 Advances in Mathematics 1 Bulletin de la Société Mathématique de France 1 Collectanea Mathematica 1 Illinois Journal of Mathematics 1 Journal of Approximation Theory 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Bulletin of the Iranian Mathematical Society 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Dynamics and Differential Equations 1 SIAM Journal on Scientific Computing 1 Computational and Applied Mathematics 1 Bulletin des Sciences Mathématiques 1 Fractional Calculus & Applied Analysis 1 Annales Henri Poincaré 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Communications on Pure and Applied Analysis 1 Communications in Mathematical Analysis 1 Complex Analysis and Operator Theory 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Journal of Function Spaces 1 European Journal of Mathematics 1 AIMS Mathematics 1 Electronic Research Archive all top 5 Cited in 17 Fields 27 Partial differential equations (35-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 8 Abstract harmonic analysis (43-XX) 7 Functional analysis (46-XX) 5 Number theory (11-XX) 4 Operator theory (47-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Quantum theory (81-XX) 1 Sequences, series, summability (40-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Citations by Year