Homogenization of non-autonomous evolution problems for convolution type operators in random media

Andrey Piatnitski; Elena Zhizhina

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arXiv · 2307.13391

Homogenization of non-autonomous evolution problems for convolution type operators in random media

Andrey Piatnitski·Elena Zhizhina

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Abstract

We study homogenization problem for non-autonomous parabolic equations of the form $\partial_t u=L(t)u$ with an integral convolution type operator $L(t)$ that has a non-symmetric jump kernel which is periodic in spatial variables and stationary random in time. We show that the homogenized equation is a SPDE with a finite dimensional multiplicative noise.

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Andrey Piatnitski, Elena Zhizhina. 2023-07-25. Homogenization of non-autonomous evolution problems for convolution type operators in random media. https://arxiv.org/abs/2307.13391

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