## Electronic Journal of Probability

### On the Unique Solvability of Some Nonlinear Stochastic PDEs

Hyek Yoo

#### Abstract

The Cauchy problem for 1-dimensional nonlinear stochastic partial differential equations is studied. The uniqueness and existence of solutions in $cH^2_p(T)$-space are proved.

#### Article information

Source
Electron. J. Probab., Volume 3 (1998), paper no. 11, 22 pp.

Dates
Accepted: 2 September 1998
First available in Project Euclid: 29 January 2016

https://projecteuclid.org/euclid.ejp/1454101771

Digital Object Identifier
doi:10.1214/EJP.v3-33

Mathematical Reviews number (MathSciNet)
MR1639464

Zentralblatt MATH identifier
0908.60057

Rights

#### Citation

Yoo, Hyek. On the Unique Solvability of Some Nonlinear Stochastic PDEs. Electron. J. Probab. 3 (1998), paper no. 11, 22 pp. doi:10.1214/EJP.v3-33. https://projecteuclid.org/euclid.ejp/1454101771

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