## Electronic Communications in Probability

### Harnack inequality and derivative formula for stochastic heat equation with fractional noise

#### Abstract

In this note, we establish the Harnack inequality and derivative formula for stochastic heat equation driven by fractional noise with Hurst index $H\in (\frac 14,\frac 12)$. As an application, we introduce a strong Feller property.

#### Article information

Source
Electron. Commun. Probab., Volume 23 (2018), paper no. 35, 11 pp.

Dates
Accepted: 21 May 2018
First available in Project Euclid: 7 June 2018

https://projecteuclid.org/euclid.ecp/1528358640

Digital Object Identifier
doi:10.1214/18-ECP138

Mathematical Reviews number (MathSciNet)
MR3812067

Zentralblatt MATH identifier
1394.60073

#### Citation

Yan, Litan; Yin, Xiuwei. Harnack inequality and derivative formula for stochastic heat equation with fractional noise. Electron. Commun. Probab. 23 (2018), paper no. 35, 11 pp. doi:10.1214/18-ECP138. https://projecteuclid.org/euclid.ecp/1528358640

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