LABORATORY J.A. DIEUDONNE

UMR CNRS-UNS N°7351
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.

Contact
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 : zheng@unice.fr        zhengjiqiang@gmail.com
               

Geometry and Analysis Seminar
Dieudonné Laboratory, University of Nice Sophia Antipolis
web page: http://www-math.unice.fr/~pjammes/seminaire/seminar.php

Research Topics
Harmonic Analysis and Partial differential equations
Biographical
        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
Education
       
  • 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

    Title
    Co-authors
    Status
    Download
    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 To appear in Comm. PDE 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
    Submitted
    math.AP/1606.00959
    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.
    math.AP/1603.08912
    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
    math.AP/1508.07298
    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
    math.AP/1410.2384
    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
    math.AP/1312.1745
    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
    math.AP/1209.3096
    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
    wave.pdf
    A note on the cone restriction conjecture
    C. Miao
    J. Zhang
    Proceedings of the AMS, 140(2012), 2091-2102
    cone.pdf
    Well-posedness for the fourth-order  Schrödinger equations with quadratic nonlinearity

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

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