English

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

Probability 2024-06-04 v1

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.

Keywords

Cite

@article{arxiv.2406.00564,
  title  = {Probabilistic approach to homogenization for a type of multivalued Dirichlet-Neumann problems},
  author = {Huijie Qiao},
  journal= {arXiv preprint arXiv:2406.00564},
  year   = {2024}
}

Comments

26 pages

R2 v1 2026-06-28T16:49:47.966Z