On the Unique Solvability of Some Nonlinear Stochastic PDEs

Hyek Yoo

doi:10.1214/EJP.v3-33

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Home > Journals > Electron. J. Probab. > Volume 3 > Article

1998 On the Unique Solvability of Some Nonlinear Stochastic PDEs

Hyek Yoo

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Hyek Yoo¹
¹University of Minnesota

Electron. J. Probab. 3: 1-22 (1998). DOI: 10.1214/EJP.v3-33

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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.