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math.AP2025
Reaction, diffusion and nonlocal interactions in high-dimensional space
Hiroshi Ishii, Yoshitaro Tanaka
In this paper we consider the mathematical relationship between nonlocal interactions of convolution type and multiple diffusive substances in high dimensions. Motivated by that th…
math.AP2021
Asymptotic profiles of zero points of solutions to the heat equation
Hiroshi Ishii
In this paper, we consider the asymptotic profiles of zero points for the spatial variable of the solutions to the heat equation. By giving suitable conditions for the initial data…
math.AP2020★ 2 cited
Effective nonlocal kernels on Reaction-diffusion networks
Shin-Ichiro Ei, Hiroshi Ishii, Shigeru Kondo +2
A new method to derive an essential integral kernel from any given reaction-diffusion network is proposed. Any network describing metabolites or signals with arbitrary many factors…