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arXiv · 1311.6040

Homogenization of elliptic equations with large random potential

Guillaume Bal·Ningyao Zhang
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Abstract

We consider an elliptic equation with purely imaginary, highly heterogeneous, and large random potential with a sufficiently rapidly decaying correlation function. We show that its solution is well approximated by the solution to a homogeneous equation with a real-valued homogenized potential as the correlation length of the random medium $\varepsilon\rightarrow 0$ and estimate the size of the random fluctuations in the setting $d\geq3$.

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Guillaume Bal, Ningyao Zhang. 2013-11-23. Homogenization of elliptic equations with large random potential. https://arxiv.org/abs/1311.6040

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