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Homogenization of Stochastic Parabolic Equations in Varying Domains

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Shape Optimization, Homogenization and Optimal Control

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 169))

Abstract

We present homogenization results for stochastic semilinear parabolic equations in varying domains which are stochastic counterparts of the some fundamental results of Khruslov and Marchenko, Skrypnik, Cioranescu, Dal Maso and Murat.

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Acknowledgements

The research of the authors is supported by the National Research Foundation of South Africa under the grant CGRR 93459. The support of DFG and AIMS for the participation of Mamadou Sango to the AIMS-DFG workshop in Mbour, Senegal is gratefully appreciated.

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Authors and Affiliations

  1. Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, South Africa

    Mogtaba A. Y. Mohammed & Mamadou Sango

  2. Department of Mathematics, Sudan University of Science and Technology, Khartoum, Sudan

    Mogtaba A. Y. Mohammed

Authors
  1. Mogtaba A. Y. Mohammed
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  2. Mamadou Sango
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Editor information

Editors and Affiliations

  1. FB IV Abt. Mathematik, Universität Trier, Trier, Germany

    Volker Schulz

  2. Département de Mathématiques de la, Université Cheikh Anta Diop de Daka, Dakar-Fann, Senegal

    Diaraf Seck

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Mohammed, M.A.Y., Sango, M. (2018). Homogenization of Stochastic Parabolic Equations in Varying Domains. In: Schulz, V., Seck, D. (eds) Shape Optimization, Homogenization and Optimal Control . International Series of Numerical Mathematics, vol 169. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-90469-6_2

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