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Bibliographic Details
Main Authors: Shao, Mengqiu, Tian, Yulu, Zhao, Liang
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2403.12394
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Table of Contents:
  • We have established a coherent framework for applying variational methods to partial differential equations on hypergraphs, which includes the propositions of calculus and function spaces on hypergraphs. Several results related to the maximum principle on hypergraphs have also been proven. As applications, we demonstrated how these can be used to study partial differential equations on hypergraphs.