Jiqiang Zheng

I am a postdoc at University of Nice Sophia Antipolis. My host is Professor Oana Ivanovici.  I did my Ph.D. at IAPCM,China. My advisor was Professor Changxing Miao.

Address :
Laboratoire J.A.Dieudonné
UMR n° 7351 CNRS UNS
Université de Nice Sophia-Antipolis
Parc Valrose
06108 NICE Cedex 2
Phone Number : +33 (0)4 92 07 60 26
Fax Number : +33 (0)4 93 51 79 74
Office: 411
Mail :

Geometry and Analysis Seminar
Dieudonné Laboratory, University of Nice Sophia Antipolis
web page:

Research Topics
Harmonic Analysis and Partial differential equations
        Born in Fujian, China on October 02, 1986
Professional Experience
  • 2017-present; Postdoctoral fellow(contract E.R.C., Responsible:Oana Ivanovici), University of Nice Sophia Antipolis
  • 2016-2017; Postdoctoral fellow(contract E.R.C., Responsible: Pierre Raphael), University of Nice Sophia Antipolis
  • 2014-2016; Postdoctoral fellow(contract E.R.C., Responsible: Gilles Lebeau), University of Nice Sophia Antipolis
  • 2010-2014; Teaching assistant, IAPCM, China
  • 2011-2014; PhD, China Academy of Engineering Physics,    
  •  Advisor: Changxing Miao
    Thesis: Scattering theory for energy-supercritical Schrödinger equation and energy-scattering theory for Klein-Gordon-type equation. English version  Chinese version
  • 2008-2011; MA, China Academy of Engineering Physics, Advisor: Changxing Miao
  • 2004-2008; BA, Xiamen University, China
Papers and Preprint

    On the 4D Nonlinear Schrödinger equation with combined terms under the energy threshold C. Miao
    T. Zhao
    Calculus of Variations (2017)56:179 math.AP/1711.10362
    Dynamics of nonlinear wave equations C. Miao Lecture  for LIASFMA School on Harmonic Analysis and Wave Equations in Fudan universty, 2017 math.AP/1711.01172
    Global-in-time Strichartz estimates and cubic Schrodinger equation on metric cone J. Zhang Submitted math.AP/1702.05813
    Global-in-time Strichartz estimates for Schrodinger on scattering manifolds J. Zhang Comm. PDE, 42(2017),1962–1981 math.AP/1702.05811
    Scattering below ground state of 3D focusing cubic fractional Schordinger equation with radial data C. Sun
    H. Wang
    X. Yao
    To appear in  Discrete Contin. Dyn. Syst.. math.AP/1702.03148
    Strichartz estimate and nonlinear Klein-Gordon equation on non-trapping scattering space
    J. Zhang
    The focusing cubic NLS with inverse-square potential in three space dimensions R. Killip
    J. Murphy
    M. Visan
     Differential and Integral Equations
    30 (2017), no. 3-4, 161-206.
    The energy-critical NLS with inverse-square potential R. Killip
    C. Miao
    M. Visan
    J. Zhang
    Discrete Contin. Dyn. Syst. 37 (2017), no. 7, 3831-3866. math.AP/1509.05822
    Sobolev spaces adapted to the Schrodinger operator with inverse-square potential R. Killip
    C. Miao
    M. Visan
    J. Zhang
    To appear in Mathematische Zeitschrift. math.AP/1503.02716
    A note on local smoothing problems and Stein´s maximal spherical means
    C. Miao
    J. Yang
    Proceedings of the AMS, 145, 4269-4282 (2017) math.AP/1606.00080
    The defocusing quintic NLS in four space dimensions B. Dodson
    C. Miao
    J. Murphy
    Annales de l'Institut Henri Poincare
     / Analyse non lineaire, 34 (2017), 759-787
    Scattering theory for the radial H1/2-critical wave Equation with a cubic convolution C. Miao
    J. Zhang
    Journal of Differential Equations, 259 (2015) 7199-7237 math.AP/1509.09126
    Linear adjoint restriction estimates for paraboloid C. Miao
    J. Zhang
    Submitted math.AP/1507.06100
    On Wolff's  L5/2 Kakeya maximal inequality in  R3 C. Miao
    J. Yang
    Forum Mathematicum, Vol.27, Issue 5(2015) 3035-3047 math.AP/1504.05624
    Scattering theory below energy space for two dimensional nonlinear Schrödinger equation C. Miao
    Communications in Contemporary Mathematics,
    Vol.17, No.6(2015)1450052
    Maximal estimates for Schrödinger equation with inverse-square potential C. Miao
    J. Zhang
    Pacific Journal of Mathematics, Vol. 273 (2015), No. 1, 1-19 math.AP/1402.5746
    Scattering theory for nonlinear Schrödinger equations with inverse-square potential J. Zhang
    Journal of Functional Analysis, 267(2014), 2907-2932 math.AP/1312.2294
    Strichartz estimates for wave equation with inverse square potential C. Miao
    J. Zhang
    Communications in Contemporary Mathematics,
    Vol. 15, No. 6(2013) 1350026
    An improved maximal inequality for 2D fractional order Schrödinger operators C. Miao
    J. Yang
    Studia Mathematica 230 (2) (2015) 121-165 math.AP/1308.3359
    The defocusing energy-supercritical NLS in four space dimensions C. Miao
    J. Murphy
    Journal of Functional Analysis, 267 (2014), 1662--1724 math.AP/1305.3993
    Scattering theory for the defocusing fourth-order Schrödinger equation C. Miao
    Nonlinearity, 29 (2016) 692-736 math.AP/1211.4668
    Scattering theory for energy-supercritical Klein-Gordon equation C. Miao
    Discrete and Continuous Dynamical System-S, 9(2016)2073-2094 math.AP/1211.4666
    The Defocusing Energy-Critical Wave Equation with a Cubic Convolution C. Miao
    J. Zhang
    Indiana University Mathematics Journal,
    Vol. 63, No.4(2014), 993-1015
    Energy Scattering for a Klein-Gordon Equation with a Cubic Convolution C. Miao
    Journal of Differential Equations, Vol 257 ( 2014) 2178-2224 math.AP/0612028
    Linear restriction estimates for the wave equation with an inverse square potential
    J. Zhang
    Pacific Journal of Mathematics, 264(2013), 491-510
    A note on the cone restriction conjecture
    C. Miao
    J. Zhang
    Proceedings of the AMS, 140(2012), 2091-2102
    Well-posedness for the fourth-order  Schrödinger equations with quadratic nonlinearity

    Advances in Differential Equations, 16(2011), 467-486
    Energy critical fourth-order Schrödinger equations with subcritical perturbations
    J. Zhang Nonlinear Analysis, 73(2010), 1004-101 subcritical.pdf

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