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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…
math.FA2024
Boundedness of composition operators from Lorentz spaces to Orlicz spaces
Naoya Hatano, Masahiro Ikeda, Ryota Kawasumi
The boundedness (continuity) of composition operators from some function space to another one is significant, though there are few results about this problem. Thus, in this study,…
math.AP2024
Smoothing estimate for the heat semigroup with a homogeneous weight on Morrey spaces
Naoya Hatano, Masahiro Ikeda
We study the smoothing estimate for the heat semigroup which is related to the nonlinear term of the Hardy-Hénon parabolic equation on Morrey spaces. This result is improvement of…