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.
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Notes
- 1.
β is called strictly monotone if there exists a > 0 such that (β(r) −β(s)(r − s) ≥ a | r − s | 2, for all \(r,s \in \mathbb{R}\).
- 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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DOI: https://doi.org/10.1007/978-3-319-41069-2_7
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