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1998 On the Unique Solvability of Some Nonlinear Stochastic PDEs
Hyek Yoo
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Electron. J. Probab. 3: 1-22 (1998). DOI: 10.1214/EJP.v3-33

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.

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Hyek Yoo. "On the Unique Solvability of Some Nonlinear Stochastic PDEs." Electron. J. Probab. 3 1 - 22, 1998. https://doi.org/10.1214/EJP.v3-33

Information

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

zbMATH: 0908.60057
MathSciNet: MR1639464
Digital Object Identifier: 10.1214/EJP.v3-33

Subjects:
Primary: 60H15
Secondary: 35R60

Keywords: embedding theorems , Space of Bessel potentials , stochastic PDEs

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Vol.3 • 1998
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