學(xué)歷
1998年本科畢業(yè)于華中理工大學(xué)數(shù)學(xué)系；.
2001年碩士畢業(yè)于華中科技大學(xué)數(shù)學(xué)系；
2004年博士畢業(yè)于蘭州大學(xué)數(shù)學(xué)系；
1998.7-2003.10 任華中科技大學(xué)數(shù)學(xué)系助教、講師；
2004.3-2004.5 美國(guó)Rutgers University訪問(wèn)學(xué)者；
200310-2009.7 任華中師范大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)學(xué)院副教授；
2009.7-至今 任華中師范大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)學(xué)院教授；
2008.2-2008.7 北京師范大學(xué)數(shù)學(xué)科學(xué)學(xué)院訪問(wèn)學(xué)者；
2009.9-2009.12 北京應(yīng)用物理與計(jì)算數(shù)學(xué)研究所訪問(wèn)教授；
2011.3-2012.3 美國(guó)Johns Hopkins University 高級(jí)訪問(wèn)學(xué)者；
2011.3 入選2010年教育部新世紀(jì)優(yōu)秀人才計(jì)劃。
所授課程
1.實(shí)變函數(shù) (本科)
2.泛函分析 (本科)
3.線性偏微分算子分析 (研究生)
4.調(diào)和分析引論 (研究生)
5.無(wú)界算子理論 (研究生) 等。
研究興趣與主題
主要集中在調(diào)和分析與偏微分算子的交叉領(lǐng)域，具體包括如下幾個(gè)主題：
1.振蕩積分與色散方程的色散估計(jì)；
2.微分算子相關(guān)的調(diào)和分析問(wèn)題的研究；
3.Schr?dinger 型算子研究等。
代表論文
1. Zheng Q., Yao X. and Fan D., Convex hypersurfaces and Lp estimates for Schr?dinger equations. Journal of Functional Analysis. 208(2004), 122-139.
2. Zheng Q., Li L., Yao X., and Fan D., The Spectrum of differential operators in Hp spaces. Illinois Journal of Math. 49(2005),45-62
3. Yao X., Zheng Q., Oscillatory integrals and Lp Estimates for Schr?dinger Equations. Journal of Differential Equation, 244(2008), 741-752.
4. Zheng Q., Yao X., Higher-Order Kato Class Potentials for Schr?dinger operators. Bulletin of London Math. Soc., 41(2009), 293-301.
5. Ding Y., Yao X., Lp－Lq Estimates for dispersive Equations and related applications. J. Math. Anal. Appl., 356( 2009), 711-728.
6. Ding Y., Yao X., Hp－Hq Estimates for dispersive Equations and related applications. Journal of Functional Analysis , 257 (2009) 2067u20132087
7. Kim J., Arnold, A. Yao X. , Global estimates of fundamental solutions for higher-order Schr?dinger equations. Monatshefte für Mathematik, online, 2011
8. Deng Q., Yao X., Lp－Lq estimates for a class of pseudodifferential equations and its applications.Acta Mathematica Sinica, English Series , Jul., 2011, Vol. 27, No. 7, pp. 1435u20131448.
9. Chen W, Miao C, Yao X., Dispersive estimates with geometry of finite type. Communication in Partial Differential Equations. 37: 479u2013510, 2012
10. Deng Q, Ding Y， Yao，X., Hardy spaces associated with higher-order divergence eilliptic operator. Journal of Functional Analysis，263(2012), 604-674
11. A. Arnold, J. Kim and X. Yao, Estimates for a class of oscillatory integrals and decay rates for wave-type equations. J. Math. Anal. Appl. 394 (2012) 139u2013151
12. Peng Shao, Xiaohua Yao, Uniform Sobolev resolvent estimates for Laplace-Beltrami operators on compact manifolds. To appear in International Mathematics Research Notices.(IMRN)
13. Chao Deng, Xiaohua Yao, Well-posedness and ill-posedness of 3D-incompressible generalized Navier-Stokes equations in Triebel-Lizorkin spaces,
To appear in Discrete and Continuous Dynamical Systems - Series A (DCDS-A)
14. Deng Q, Ding Y， Yao，X., Remarks on the form core asscociated with higher order Schrodinger operators. To appear in Indiana University Math. J.
15. J.Bourgain, P. Shao, C. Sogge, X.Yao On $L^p$-resolvent estimates and the density of eigenvalues for compact Riemannian manifolds. To appear in Communications in Mathematical Physics
16. A. Sikora, Linxin Yan，Xiaohua Yao, On the boundedness of spectral multipliers for operators with generalized Gaussian estimates, J. Functional Analysis, 266 (2014) 368u2013409
17. Deng Q, Ding Y， Yao，X., Riesz transform associated to higher order Schrodinger type operators. Preprint.
18. Deng Q, Ding Y， Yao，X., BMO and VMO spaces associated with higher-order divergence eilliptic operators. Preprint.
19. Deng Q, Ding Y， Yao，X., The pointwise estimates of heat kernel of higher order Schrodinger type semigroups. Submitted
20. Chao Deng, Xiaohua Yao, Ill -posedness of 3D-incompressible Navier-Stokes equations in Triebel-Lizorkin spaces, Submitted