Manthey, Ralf; Zausinger, Thomas Stochastic evolution equations in \(L_{\rho}^{2\nu}\). (English) Zbl 0926.60051 Stochastics Stochastics Rep. 66, No. 1-2, 37-85 (1999). Existence and uniqueness are considered for solutions of a general stochastic evolution equation \(dX=(AX+F(X))dt+\sum(X)dW\), \(x(0)=X_0\), with space-time white noise \(W\). The solution is defined by a stochastic integral equation with the evolution operator. Comparison theorems are proved, too. Reviewer: W.Grecksch (Halle) Cited in 26 Documents MSC: 60H15 Stochastic partial differential equations (aspects of stochastic analysis) Keywords:stochastic evolution equation; existence and uniqueness of a solution; comparison of solutions PDFBibTeX XMLCite \textit{R. Manthey} and \textit{T. Zausinger}, Stochastics Stochastics Rep. 66, No. 1--2, 37--85 (1999; Zbl 0926.60051) Full Text: DOI