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Homogenization of random semilinear PDEs
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  • Published: December 2001

Homogenization of random semilinear PDEs

  • Fabienne Castell1 

Probability Theory and Related Fields volume 121, pages 492–524 (2001)Cite this article

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Abstract.

We prove a homogenization result for system of semilinear parabolic PDEs of the type

where V and a are random ergodic fields. We extend to the random case, results of Buckdahn, Hu & Peng [4] for periodic structures. The same method involving stability results is applied. Our main tool is an L p estimate for the gradient of the solution of the auxiliary problems. The same type of resultsis obtained for systems of semilinear elliptic PDEs.

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Authors and Affiliations

  1. Laboratoire d'Analyse, Topologie et Probabilités, CNRS UMR 6632, CMI, Université de Provence, 39 rue Joliot Curie, 13453 Marseille Cedex 13, France. e-mail: castell@cmi.univ-mrs.fr, , , , , , FR

    Fabienne Castell

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  1. Fabienne Castell
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Received: 26 September 2000 / Revised version: 22 March 2001 / Published online: 15 October 2001

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Castell, F. Homogenization of random semilinear PDEs. Probab Theory Relat Fields 121, 492–524 (2001). https://doi.org/10.1007/s004400100164

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  • Issue Date: December 2001

  • DOI: https://doi.org/10.1007/s004400100164

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Keywords

  • Periodic Structure
  • Stability Result
  • Main Tool
  • Auxiliary Problem
  • Elliptic PDEs
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