Document Zbl 0908.60057

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On the unique solvability of some nonlinear stochastic PDEs. (English) Zbl 0908.60057

Electron. J. Probab. 3, Paper No. 11, 22 p. (1998).

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.

Cited in 2 Documents

MSC:

60H15	Stochastic partial differential equations (aspects of stochastic analysis)
35R60	PDEs with randomness, stochastic partial differential equations

Keywords:

space of Bessel potentials; embedding theorems

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