Homogenization of a singular random one-dimensional PDE

By Bogdan Iftimie, 'Etienne Pardoux, Andrey L. Piatnitski. 2008

59 citations recorded by the source corpus.

This paper deals with the homogenization problem for a one-dimensional parabolic PDE with random stationary mixing coefficients in the presence of a large zeroorder term. We show that under a proper choice of the scaling factor for the said zero order terms, the family of solutions of the studied problem converges in law, and describe the limit process. It should be noted that the limit dynamics remain random.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/eb0898a6bf0a329e9c56bff421edda6b287df1d1

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In Applied Mathematics

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Citations in the corpus

• Stochastic heat equations with general multiplicative Gaussian noises: Hölder continuity and intermittency (2014, background): “• It appears naturally in homogenization problems for PDEs driven by highly oscillating stationary random fields (see [20, 24, 28] and references therein).”