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

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Second Order PDE’s in Finite and Infinite Dimension

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

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Abstract

In the previous two chapters we have been dealing with stochastic reaction-diffusion systems of the following type

In those two chapters the reaction term f(ξ,.) is assumed to have bounded derivatives, uniformly with respect to

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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 (I). 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_7

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  • DOI: https://doi.org/10.1007/3-540-45147-1_7

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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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