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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© 2001 Springer-Verlag Berlin Heidelberg
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(2001). Smooth dependence on data for the SPDE: the non-Lipschitz case (II). In: Cerrai, S. (eds) Second Order PDE’s in Finite and Infinite Dimension. Lecture Notes in Mathematics, vol 1762. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45147-1_8
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DOI: https://doi.org/10.1007/3-540-45147-1_8
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42136-8
Online ISBN: 978-3-540-45147-1
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