\(L_p\)-estimates for SPDE with discontinuous coefficients in domains (Q1767548)

The author considers stochastic partial differential equations of divergence form with discontinuous and unbounded coefficients. Working on Sobolev spaces and using an \(L^p\) theory for this class of equations, the author gives an existence and uniqueness results on \(\mathbb R^d\), \(\mathbb R^d_+\) and on \(C^1\) domains. Some Hölder type estimates for the solution are also given. This work is an extension of the paper [\textit{H. Yoo}, Stochastic Anal. Appl. 17, 871--894 (1999; Zbl 0953.60051)].