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arXiv · 2406.00564

Probabilistic approach to homogenization for a type of multivalued Dirichlet-Neumann problems

Huijie Qiao
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Abstract

The work is about homogenization for a type of multivalued Dirichlet-Neumann problems. First, we prove an average principle for general multivalued stochastic differential equations in the weak sense. Then for general forward-backward coupled multivalued stochastic systems, the other average principle is presented. Finally, we apply the result to a type of multivalued Dirichlet-Neumann problems and investigate its homogenization.

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Huijie Qiao. 2024-06-01. Probabilistic approach to homogenization for a type of multivalued Dirichlet-Neumann problems. https://arxiv.org/abs/2406.00564

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