Electronic Journal of Probability

On the Unique Solvability of Some Nonlinear Stochastic PDEs

Hyek Yoo

Full-text: Open access

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

Permanent link to this document
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

Subjects
Primary: 60H15: Stochastic partial differential equations [See also 35R60]
Secondary: 35R60: Partial differential equations with randomness, stochastic partial differential equations [See also 60H15]

Keywords
Stochastic PDEs Space of Bessel potentials Embedding theorems

Rights
This work is licensed under aCreative Commons Attribution 3.0 License.

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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