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The Stochastic Porous Media Equations in \(\mathbb{R}^{d}\)

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

Abstract

Here we shall treat Eq. (3.1) in the domain \(\mathcal{O} = \mathbb{R}^{d}\). Though the methods are similar to those used for bounded domains, there are, however, some notable differences and as seen below the dimension d of the space plays a crucial role.

Keywords

  • Stochastic Porous Media Equations
  • Finite Extinction Time
  • Maximal Monotone Multivalued Function
  • Main Existence Result
  • Crandall-Liggett Theorem

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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Barbu, V., Da Prato, G., Röckner, M. (2016). The Stochastic Porous Media Equations in \(\mathbb{R}^{d}\) . In: Stochastic Porous Media Equations. Lecture Notes in Mathematics, vol 2163. Springer, Cham. https://doi.org/10.1007/978-3-319-41069-2_6

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