2 papers
math.CA2026
Cahn-Hilliard equation associated with hypergraph
Takeshi Fukao, Masahiro Ikeda, Shun Uchida
A hypergraph Laplacian was introduced to investigate the structure of networks written as hypergraphs. It was shown that the behavior of solutions to an evolution equation associat…
math.OC2024
Optimal control problem of evolution equation governed by hypergraph Laplacian
Takeshi Fukao, Masahiro Ikeda, Shun Uchida
In this paper, we consider an optimal control problem of an ordinary differential inclusion governed by the hypergraph Laplacian, which is defined as a subdifferential of a convex…