Stochastic fractional diffusion equations with Gaussian noise rough in space-Reference-Cited by-同舟云学术

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Stochastic fractional diffusion equations with Gaussian noise rough in space

Published:2024-08-01 Issue:3 Volume:30 Page:
ISSN:1350-7265
Container-title:Bernoulli
language:
Short-container-title:Bernoulli

Author:

Guo Yuhui¹,Song Jian²,Song Xiaoming³

Affiliation:

1. School of Mathematics, Shandong University, Jinan, Shandong, 250100, China

2. Research Center for Mathematics and Interdisciplinary Sciences, Shandong University, Qingdao, Shandong, 266237, China

3. Department of Mathematics, Drexel University, Philadelphia, PA 19104, USA

Publisher

Bernoulli Society for Mathematical Statistics and Probability

Reference39 articles.

1. Nualart, D. (2006). The Malliavin Calculus and Related Topics, 2nd ed. Probability and Its Applications (New York). Berlin: Springer.

2. Balan, R.M., Chen, L. and Chen, X. (2022). Exact asymptotics of the stochastic wave equation with time-independent noise. Ann. Inst. Henri Poincaré Probab. Stat. 58 1590–1620. 10.1214/21-aihp1207

3. Balan, R.M. and Conus, D. (2016). Intermittency for the wave and heat equations with fractional noise in time. Ann. Probab. 44 1488–1534. 10.1214/15-AOP1005

4. Balan, R.M., Jolis, M. and Quer-Sardanyons, L. (2015). SPDEs with affine multiplicative fractional noise in space with index $\frac{1}{4} < H < \frac{1}{2}$ . Electron. J. Probab. 20 no. 54, 36. 10.1214/EJP.v20-3719

5. Balan, R.M., Jolis, M. and Quer-Sardanyons, L. (2017). Intermittency for the hyperbolic Anderson model with rough noise in space. Stochastic Process. Appl. 127 2316–2338. 10.1016/j.spa.2016.10.009

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