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Variational Approach to Stochastic Porous Media Equations

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

Abstract

We shall briefly present here a different approach to stochastic porous media equations which in analogy to the variational formulation of parabolic boundary value problems will be called variational approach. It is based on a general existence result for infinite dimensional stochastic equations of the form

Keywords

  • Orlicz Space
  • Maximal Monotone Operator
  • Reflexive Banach Space
  • Young Function
  • Parabolic Boundary

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Barbu, V., Da Prato, G., Röckner, M. (2016). Variational Approach to Stochastic Porous Media Equations. In: Stochastic Porous Media Equations. Lecture Notes in Mathematics, vol 2163. Springer, Cham. https://doi.org/10.1007/978-3-319-41069-2_4

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