## Electronic Journal of Probability

### Stochastic evolution equations with multiplicative noise

#### Abstract

We study parabolic stochastic partial differential equations(SPDEs), driven by two types of operators: one linear closedoperator generating a $C_0-$semigroup and one linear boundedoperator with Wick-type multiplication, all of them set in theinfinite dimensional space framework of white noise analysis. Weprove existence and uniqueness of solutions for this class of SPDEs.In particular, we also treat the stationary case when thetime-derivative is equal to zero.

#### Article information

Source
Electron. J. Probab., Volume 20 (2015), paper no. 19, 23 pp.

Dates
Accepted: 28 February 2015
First available in Project Euclid: 4 June 2016

https://projecteuclid.org/euclid.ejp/1465067125

Digital Object Identifier
doi:10.1214/EJP.v20-3696

Mathematical Reviews number (MathSciNet)
MR3317161

Zentralblatt MATH identifier
1321.60137

Rights

#### Citation

Levajković, Tijana; Pilipović, Stevan; Seleši, Dora; Žigić, Milica. Stochastic evolution equations with multiplicative noise. Electron. J. Probab. 20 (2015), paper no. 19, 23 pp. doi:10.1214/EJP.v20-3696. https://projecteuclid.org/euclid.ejp/1465067125

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