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
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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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