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Introduction

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Stochastic Porous Media Equations

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

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Abstract

This is an introductory chapter mainly devoted to the formulation of problems, models and some preliminaries on convex and infinite dimensional analysis, indispensable for understanding the sequel.

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Notes

  1. 1.

    Here we use 〈 ⋅,⋅〉2 also to denote the duality between \(C_{0}^{\infty }(\mathbb{R}^{d})\) and the space of distributions.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Al. I. Cuza University & Octav Mayer Institute of Mathematics of the Romanian Academy, Iasi, Romania

    Viorel Barbu

  2. Classe di Scienze, Scuola Normale Superiore di Pisa, Pisa, Italy

    Giuseppe Da Prato

  3. Department of Mathematics, University of Bielefeld, Bielefeld, Germany

    Michael Röckner

Authors
  1. Viorel Barbu
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  2. Giuseppe Da Prato
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  3. Michael Röckner
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Barbu, V., Da Prato, G., Röckner, M. (2016). Introduction. In: Stochastic Porous Media Equations. Lecture Notes in Mathematics, vol 2163. Springer, Cham. https://doi.org/10.1007/978-3-319-41069-2_1

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