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

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

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

Keywords

  • Mild Solution
  • Gronwall Lemma
  • Transition Semigroup
  • PRIORI Estimate
  • Smooth Dependence

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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

  • eBook Packages: Springer Book Archive