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Transition Semigroup

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2163)

Abstract

This chapter is devoted to existence of invariant measures for transition semigroups associated with stochastic porous media equations with additive noise studied in previous chapters.

Keywords

  • Markov Transition Semigroup
  • Stochastic Porous Media Equations
  • Invariant Measure
  • Nonlinear Stochastic Partial Differential Equations
  • Approximate Controllability Result

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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Notes

  1. 1.

    β is called strictly monotone if there exists a > 0 such that (β(r) −β(s)(rs) ≥ a | rs | 2, for all \(r,s \in \mathbb{R}\).

  2. 2.

    \(\frac{1} {\frac{1} {t}\int _{0}^{t}hdt} \leq \frac{1} {t} \int _{0}^{t} \frac{1} {h}\;dt.\)

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Barbu, V., Da Prato, G., Röckner, M. (2016). Transition Semigroup. In: Stochastic Porous Media Equations. Lecture Notes in Mathematics, vol 2163. Springer, Cham. https://doi.org/10.1007/978-3-319-41069-2_7

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