## Electronic Communications in Probability

### On stochastic heat equation with measure initial data

Jingyu Huang

#### Abstract

The aim of this short note is to obtain the existence, uniqueness and moment upper bounds of the solution to a stochastic heat equation with measure initial data, without using the iteration method in [1, 2, 3].

#### Article information

Source
Electron. Commun. Probab., Volume 22 (2017), paper no. 40, 6 pp.

Dates
Accepted: 26 June 2017
First available in Project Euclid: 11 August 2017

https://projecteuclid.org/euclid.ecp/1502416901

Digital Object Identifier
doi:10.1214/17-ECP71

Mathematical Reviews number (MathSciNet)
MR3685238

Zentralblatt MATH identifier
1379.60070

#### Citation

Huang, Jingyu. On stochastic heat equation with measure initial data. Electron. Commun. Probab. 22 (2017), paper no. 40, 6 pp. doi:10.1214/17-ECP71. https://projecteuclid.org/euclid.ecp/1502416901

#### References

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• [3] Le Chen and Kunwoo Kim: Nonlinear stochastic heat equation driven by spatially colored noise: moments and intermittency. arXiv preprint https://arxiv.org/abs/1510.06046.
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