On the unique solvability of some nonlinear stochastic PDEs. (English) Zbl 0908.60057
Summary: The Cauchy problem for one-dimensional nonlinear stochastic partial differential equations is studied. The uniqueness and existence of solutions in \({\mathcal H}^2_p(T)\)-space are proved.
MSC:
| 60H15 | Stochastic partial differential equations (aspects of stochastic analysis) |
| 35R60 | PDEs with randomness, stochastic partial differential equations |
