Personal page of Jingyu Huang

Jingyu Huang

University of Utah

Department of Mathematics, JWB110
155 S 1400 E
Salt Lake City, UT, 84112-0090
USA

Email: jhuang@math.utah.edu
Tel: +1 801 581 7513  Fax: +1 801 581 4148     

About me: I am a Scott Assistant Professor/Lecturer at University of Utah, working with Prof. Davar Khoshnevisan. I obtained my Ph.D in May 2015 from the University of Kansas, under the supervison of Prof. Yaozhong Hu and David Nualart. I am currently working on stochastic partial differential equations.

Teaching

Research interests: Stochastic analysis, stochastic partial differential equations, Malliavin calculus, fractional Brownian motions, random fractals. 

Vita: Curriculum vitae

Papers:

1. (With Y. Hu and D. Nualart.) On Hölder continuity of the solution of stochastic wave equations in dimension three. Stoch. Partial Di ffer. Equ. Anal. Comput. 2 (2014), no. 3, 353-407.

2. (With Y. Hu, D. Nualart and S. Tindel.) Stochastic heat equations with general multiplicative Gaussian noises: Hölder continuity and intermittency. Electron. J. Probab., 20, 1-50, 2015.

3. (With Y. Hu, D. Nualart and X. Sun.) Smoothness of the joint density for spatially homogeneous SPDEs. Journal of the Mathematical Society of Japan. 67, no. 4, 1605-1630, 2015

4. (With Y. Hu, K. Lê, D. Nualart and S. Tindel.) Stochastic heat equation with rough dependence in space. Ann. Probab. to appear.

5.  (With Y. Hu and D. Nualart) On the intermittency front of stochastic heat equation driven by colored noises. Electron. Commun. Probab. Volume 21 (2016), paper no. 21, 13 pp.

6.  (With L. Chen, G. Hu and Y. Hu) Space-time fractional diff usions in Gaussian noisy environment. Stochastics, to appear.

7.  (With K. Lê and D. Nualart) Large time asymptotics for the parabolic Anderson model driven by spatially correlated noise. Annales de l'Institut Henri Poincaré, Volume 53, Number 3 (2017), 1305-1340.

8. (With K. Lê and D. Nualart) Large time asymptotics for the parabolic Anderson model driven by space and time correlated noise. Stoch. Partial Differ. Equ. Anal. Comput, to appear.

9. (With L. Chen) Comparison principle for stochastic heat equation on R^d. preprint.


10. (
With Y. Hu, K. Lê, D. Nualart and S. Tindel.) Parabolic Anderson model with rough dependence in space. preprint

11. On stochastic heat equation with measure initial data. Electron. Commun. Probab. Volume 22, (2017), paper no. 40, 6 pp

 
12. (With L. Chen, D. Khoshnevisan and K. Kim) Dense blowup for parabolic SPDEs. preprint

13. (With K. Lê) Spatial asymptotic of the stochastic heat equation with compactly supported initial data. preprint

14. (With D. Khoshnevisan) On the multifractal local behavior of parabolic stochastic PDEs. Electron. Commun. Probab. Volume 22, (2017), no. 49, 1-11.

15. (With D. Khoshnevisan) Analysis of a stratified Kraichnan flow. preprint

16. (With Y. Gu) Chaos expansion of 2D parabolic Anderson model. Preprint