Smooth dependence on data for the SPDE: the non-Lipschitz case (II)
In the previous chapter we have studied the regularizing properties of the transition semigroup associated with the stochastic reaction-diffusion system du(t) = [Au(t)+F(u(t))]dt + Qdw(t), u(0) = x, (7.0.1) in the Banach space E of continuous functions. In this chapter we study the same problem, but in the Hilbert space H of square integrable functions.
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