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Smooth dependence on data for the SPDE: the non-Lipschitz case (II)

Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 1762)

Abstract

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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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

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