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Homogenization of divergence-form operators with lower-order terms in random media
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  • Published: June 2001

Homogenization of divergence-form operators with lower-order terms in random media

  • Antoine Lejay1 

Probability Theory and Related Fields volume 120, pages 255–276 (2001)Cite this article

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Abstract.

The probabilistic machinery (Central Limit Theorem, Feynman-Kac formula and Girsanov Theorem) is used to study the homogenization property for PDE with second-order partial differential operator in divergence-form whose coefficients are stationary, ergodic random fields. Furthermore, we use the theory of Dirichlet forms, so that the only conditions required on the coefficients are non-degeneracy and boundedness.

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Authors and Affiliations

  1. Mathematical Institute, Oxford University, 24-29 St Giles', Oxford OX1 3LB, United Kingdom. e-mail: lejay@maths.ox.ac.uk, , , , , , GB

    Antoine Lejay

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  1. Antoine Lejay
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Received: 27 August 1999 / Revised version: 27 October 2000 / Published online: 26 April 2001

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Lejay, A. Homogenization of divergence-form operators with lower-order terms in random media. Probab Theory Relat Fields 120, 255–276 (2001). https://doi.org/10.1007/PL00008783

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  • Issue Date: June 2001

  • DOI: https://doi.org/10.1007/PL00008783

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  • Mathematics Subject Classification (2000): 35B27, 35R60, 60H30, 60J60
  • Key words or phrases: Random media – Random potential – Homogenization – Dirichlet form – Divergence-form operators
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