Brief Introduction of DENG, Qingquan

Name: Qingquan Deng

Address: Department of Mathematics, Huazhong Normal University,152 Luoyu Street, Wuhan, China, 430079

E-mail: dengq@mail.ccnu.edu.cn

Date of birth: September 26, 1983

Nationality: People’s Republic of China

Ph.Din mathematics, Beijing Normal University, Beijing, China. 2012    

• Thesis adviser: Professor Yong Ding

• Thesis title: The applications of harmonic analysis method in    the study of higher order differential operators

M.S.in mathematics, Huazhong Normal University, Wuhan, China. 2009    

• Thesis advisers: Professors Yinbin Deng and Xiaohua Yao

• Thesis title: L^p-L^q estimates for a class of pseudo- differential equations and its applications

B.A.in mathematics, Huazhong Normal University, Wuhan, China. 2006

Harmonic analysis: the Hardy spaces and its application, oscillatory integrals

Partial differential equations: dispersive equations, fractional dissipative equations

Differential operators: higher order elliptic operators, Schrödinger operators

Teaching Assistant, department of mathematics, Huazhong Normal University, Wuhan, China, 9.2007-1.2009.

Teaching Assistant, the school of mathematics, Beijing Normal University, Beijing, China, 9.2009-1.2010.

Visiting Scholar, department of mathematics, The University of Wisconsin at Milwaukee, USA, 9.2010-9.2011.

Lecturer, department of mathematics, Huazhong Normal University, Wuhan, China, 9.2012-.

The Harmonic Analysis and Complex Analysis International Conference, 8-10 June 2008, Fujian Normal University, Fuzhou, China.

International Conference on Harmonic Analysis and Partial Differential Equation With Application, 27-30 May 2009, Beijing Normal University, Beijing, China.

International Conference on Harmonic Analysis and Approximation Theory, 20-23 November 2009, Beijing Normal University, Beijing, China.

Analysis and Applications: Stein Conf. May 2011, Princeton University, USA.

International Conference on Harmonic Analysis and Partial Differential Equation, 16-20 May 2012, Nanjing University, Nanjing, China.

International Conference on Harmonic Analysis and its Application. 11-16, Oct. 2012, Zhejiang Normal University, Jinhua, China.

International Conference on Harmonic Analysis and its applications, Haikou, China, Jan. 2013, Characterizations of Hardy space associated to higher order elliptic operators.

The project NSFC(No. 10931001) about Harmonic Analysis and Its Application organized by Professor Yong Ding.

The project SRFDP (NO. 2009000310018) organized by Professor Yong Ding.

The project NSFC (No. 10801057) organized by Professor Xiaohua Yao.

The Key Project of Chinese Ministry of Education (No. 109117) organized by Professor Xiaohua Yao.

The China Postdoctoral Science Foundation (No.2012M521442).

• L^p-L^q estimates for a class of pesudo-differential equations and its applications(with X. Yao), Acta Mathematica Sinica (English Series) 7 (2011), 1435-1448.

• Estimates on Fractional Power Dissipative Equations in Function Spaces(with J. Chen, Y. Ding and D. Fan), J. Nonlinear Analysis. 75 (2012), 2959-2974.

• Characterizations of Hardy spaces associated to higher order elliptic operators(with Y. Ding and X. Yao), Journal of Functional Analysis 263 (2012), 604-674.

• Estimate for Generalized Unimodular Multipliers on Modulation spaces(with Y. Ding and L. Sun), J. Nonlinear Analysis 85 (2013) 78–92.

• Maximal and minimal forms for generalized Schrödinger operator(with Y. Ding and X. Yao),Indiana University Mathematics Journal, to appear.

• Gaussian bounds for higher-order elliptic differential operatorsof Katotypepotentials (with Y. Ding and X. Yao), Journal of Functional Analysis,266 (2014),5377–5397.

Submitted and manuscripts in preparation
 

The L^q estimates of Riesz transform associated to Schrödinger operator(with Y. Ding and X. Yao), submitted.

Riesz transform associated to higher order Schrödinger type operators(with Y. Ding and X. Yao), Preprint.

The Hardy spaces theory associated to higher order Schrödinger type operators(with Y. Ding and X. Yao), Preprint.

BMO and VMO spaces associated with higher order divergence elliptic operators(with Y. Ding and X. Yao), Preprint.

H^p-H^q estimates for a class of dispersive equation and related application(with Y. Ding and D. Fan), Preprint.