# 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 Differ.
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
diffusions 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