## Abstract and Applied Analysis

### The Small Time Asymptotics of SPDEs with Reflection

#### Abstract

We study stochastic partial differential equations with singular drifts and with reflection, driven by space-time white noise with nonconstant diffusion coefficients under periodic boundary conditions. The existence and uniqueness of invariant measures is established under appropriate conditions. As a byproduct, the Hölder continuity of the solution is obtained. The strong Feller property is also obtained. Moreover, we show large deviation principle.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 264263, 13 pages.

Dates
First available in Project Euclid: 6 October 2014

https://projecteuclid.org/euclid.aaa/1412607131

Digital Object Identifier
doi:10.1155/2014/264263

Mathematical Reviews number (MathSciNet)
MR3214413

Zentralblatt MATH identifier
07022046

#### Citation

Yang, Juan; Zhai, Jianliang; Zhou, Qing. The Small Time Asymptotics of SPDEs with Reflection. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 264263, 13 pages. doi:10.1155/2014/264263. https://projecteuclid.org/euclid.aaa/1412607131

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