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Stochastic evolution equations in \(L_{\rho}^{2\nu}\). (English) Zbl 0926.60051

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)

MSC:

60H15 Stochastic partial differential equations (aspects of stochastic analysis)
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