33 citations · 119 across the 43 of their papers we have counts for
5 papers · 2 filters
The heat equation with the dynamic boundary condition as a singular limit of problems degenerating at the boundary
Yoshikazu Giga, Michał Łasica, Piotr Rybka
We derive the dynamic boundary condition for the heat equation as a limit of boundary layer problems. We study convergence of their weak and strong solutions as the width of the la…
Graph gradient flows : from discrete to continuum
Yoshikazu Giga, Yves van Gennip, Jun Okamoto
This paper gives a framework to study a continuum limit of a gradient flow on a graph where the number of vertices increases in an appropriate way. As examples we prove the converg…
On a singular limit of the Kobayashi--Warren--Carter energy
Yoshikazu Giga, Jun Okamoto, Koya Sakakibara +1
By introducing a new topology, a representation formula of the Gamma limit of the Kobayashi-Warren-Carter energy is given in a multi-dimensional domain. A key step is to study the…
The fourth-order total variation flow in
Yoshikazu Giga, Hirotoshi Kuroda, Michał Łasica
We define rigorously a solution to the fourth-order total variation flow equation in . If , it can be understood as a gradient flow of the total variation ene…
Exhaustive existence and non-existence results for Hardy-Hénon equations in
Yoshikazu Giga, Quôc Anh Ngô
This paper concerns solutions to the Hardy-Hénon equation \[ -Δu = |x|^σu^p \] in with and arbitrary . This equation was proposed by Hé…